https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Bao&feedformat=atomUW-Math Wiki - User contributions [en]2021-02-24T17:05:28ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4770Symplectic Geometry Seminar2012-12-02T23:41:41Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group(continued)<br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
'''Erkao Bao''' ''Symplectic structures on the cotangent bundles''<br />
<br />
References:<br />
<br />
http://arxiv.org/abs/1209.3045<br />
<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4769Symplectic Geometry Seminar2012-12-02T23:41:19Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group(continued)<br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
'''Erkao Bao''' ''Symplectic structures on the cotangent bundles''<br />
<br />
References:<br />
<br />
http://arxiv.org/abs/1209.3045<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4768Symplectic Geometry Seminar2012-12-02T23:40:52Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group(continued)<br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
'''Erkao Bao''' ''Symplectic structures on the cotangent bundles''<br />
<br />
References:<br />
<br />
http://arxiv.org/abs/1209.3045<br />
<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4767Symplectic Geometry Seminar2012-12-02T23:40:27Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group(continued)<br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
'''Erkao Bao''' ''Symplectic structures on the cotangent bundles''<br />
references:<br />
http://arxiv.org/abs/1209.3045<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4766Symplectic Geometry Seminar2012-12-02T23:39:39Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group(continued)<br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
'''Erkao Bao''' "Symplectic structures on the cotangent bundles"<br />
references:<br />
http://arxiv.org/abs/1209.3045<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4765Symplectic Geometry Seminar2012-12-02T23:38:55Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group(continued)<br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
"'Erkao Bao"' "Symplectic structures on the cotangent bundles"<br />
references:<br />
http://arxiv.org/abs/1209.3045<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4764Symplectic Geometry Seminar2012-12-02T23:38:19Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group(continued)<br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
"Erkao Bao" "Symplectic structures on the cotangent bundles"<br />
references:<br />
http://arxiv.org/abs/1209.3045<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4763Symplectic Geometry Seminar2012-12-02T23:37:40Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group II <br />
|<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
"Erkao Bao" "Symplectic structures on the cotangent bundles"<br />
references:<br />
http://arxiv.org/abs/1209.3045<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=4762Symplectic Geometry Seminar2012-12-02T23:37:09Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-5:00pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|09/19<br />
| Rui Wang<br />
|The canonical connection on contact manifolds<br />
|-<br />
|-<br />
|09/26<br />
|Rui Wang<br />
|An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds<br />
|-<br />
|-<br />
|10/03<br />
|Erkao Bao, Jaeho Lee<br />
|Symplectic Homology1<br />
|-<br />
|-<br />
| 10/10<br />
|Dongning Wang, Jie Zhao<br />
|Symplectic HomologyII<br />
|-<br />
|-<br />
| 10/17<br />
|<br />
|no seminar this week<br />
|-<br />
|-<br />
|10/24<br />
|Wenfeng Jiang<br />
|Classification of Free Hamitolnian-its mathematics foundation<br />
|-<br />
|-<br />
|11/07<br />
|Dongning Wang<br />
|Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation<br />
|-<br />
|-<br />
|11/28<br />
|Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group<br />
|-<br />
|12/05<br />
|<br />
| Yoosik Kim<br />
|Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group II<br />
|-<br />
|12/12<br />
|Erkao Bao<br />
| Symplectic structures on the cotangent bundles<br />
|-<br />
|-<br />
|<br />
|<br />
| <br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Rui Wang''' ''The canonical connection on contact manifolds and an tensorial proof of exponential decay ''<br />
<br />
Abstract:<br />
<br />
We define a new connection on contact manifolds and give the proof of its existence and uniqueness. This is an odd dimensional analogue of canonical connection defined by Ehresman-Libermann’s on the almost K ̈ahler manifolds. We call it the canonical connection on contact manifolds. Further from the canonical connection, we construct a Hermitian connection of the pull back bundle w^*\xi. In the sequential talk, I use this Hermitian connection to give a tensorial way to derive the exponential decay of pseudo-holomorphic curves with gradient bound. This is a joint work with Yong-Geun Oh. <br />
<br />
'''Dongning Wang''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''<br />
<br />
Abstract:<br />
<br />
We compute the Seidel elements for toric orbifolds, and use them to show that the quantum cohomology ring of toric orbifolds is isomorphic to the quotient of a polynomial ring generated over novikov ring by certain relations. This result is for all toric orbifolds. If the toric orbifold is Fano or Nef, then the isomorphism can be written down explicitly. This is a joint work with Hsian-Hua Tseng.<br />
<br />
'''Yoosik Kim''' ''Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group''<br />
<br />
Abstract:<br />
<br />
I will talk about spectral invariants, related invariants and area conjecture proposed by Prof. Oh in his paper: Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group.<br />
<br />
"Erkao Bao" "Symplectic structures on the cotangent bundles"<br />
references:<br />
http://arxiv.org/abs/1209.3045<br />
http://arxiv.org/abs/0812.4781<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]<br />
*[[ Spring 2012 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3825Symplectic Geometry Seminar2012-04-23T17:51:29Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
<br />
'''Erkao Bao''' ''On the Fukaya categories of higher genus surfaces''<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. In this paper he proved that the Grothendieck group of the derived Fukaya category of a surface <math>\Sigma </math> with Euler characteristic <math>\chi (\Sigma)<0 </math> is isomorphic to <math>H_1(\Sigma,\mathbb{Z})\oplus {\mathbb{Z}/ \chi (\Sigma) \mathbb{Z}} \oplus \mathbb{R}</math>.<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3824Symplectic Geometry Seminar2012-04-23T17:50:48Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
<br />
'''Erkao Bao''' ''On the Fukaya categories of higher genus surfaces''<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. In this paper he proved that the Grothendieck group of the derived Fukaya category of a surface <math>\Sigma </math> with Euler characteristic <math>\chi (\Sigma)<0 </math> is isomorphic to <math>H_1(\Sigma,\mathbb{Z})\oplus {\mathbb{Z}/ \chi {\Sigma} \mathbb{Z}} \oplus \mathbb{R}</math>.<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3822Symplectic Geometry Seminar2012-04-22T03:52:54Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
<br />
'''Erkao Bao''' ''On the Fukaya categories of higher genus surfaces''<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. In this paper he proved that the Grothendieck group of the derived Fukaya category of a surface <math>\Sigma </math> with Euler characteristic <math>\chi (\Sigma)<0 </math> is isomorphic to <math>H_1(\Sigma,\mathbb{Z})\oplus {\mathbb{Z}/ \chi \mathbb{Z}} \oplus \mathbb{R}</math>.<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3821Symplectic Geometry Seminar2012-04-22T03:52:19Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
<br />
'''Erkao Bao''' ''On the Fukaya categories of higher genus surfaces''<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. In this paper he proved that the Grothendieck group of the derived Fukaya category of a surface <math>\Sigma </math> with Euler characteristic <math>\chi (\Sigma)<0 </math> is isomorphic to <math>H^1(\Sigma,\mathbb{Z})\oplus {\mathbb{Z}/ \chi \mathbb{Z}} \oplus \mathbb{R}</math>.<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3820Symplectic Geometry Seminar2012-04-22T03:51:01Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
Erkao Bao "On the Fukaya categories of higher genus surfaces"<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. In this paper he proved that the Grothendieck group of the derived Fukaya category of a surface <math>\Sigma </math> with Euler characteristic <math>\chi (\Sigma)<0 </math> is isomorphic to <math>H^1(\Sigma,\mathbb{Z})\oplus {\mathbb{Z}/ \chi \mathbb{Z}} \oplus \mathbb{R}</math>.<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3819Symplectic Geometry Seminar2012-04-22T03:49:36Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
Erkao Bao "On the Fukaya categories of higher genus surfaces"<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. He proved that the Grothendieck group of the derived Fukaya category of a surface <math>\Sigma </math> with Euler characteristic <math>\chi (\Sigma)<0 </math> is isomorphic to <math>H^1(\Sigma,\mathbb{Z})\oplus {\mathbb{Z}/ \chi \mathbb{Z}} \oplus \mathbb{R}</math><br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3818Symplectic Geometry Seminar2012-04-22T03:47:32Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
Erkao Bao "On the Fukaya categories of higher genus surfaces"<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. He proved that the Grothendieck group of the derived Fukaya category of a higher genus surface <math>\Sigma </math> is isomorphic to <math>H^1(\Sigma,\mathbb{Z})\oplus {\mathbb{Z}/ \chi \mathbb{Z}} \oplus \mathbb{R}</math><br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3817Symplectic Geometry Seminar2012-04-22T03:46:37Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
Erkao Bao "On the Fukaya categories of higher genus surfaces"<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. He proved that the Grothendieck group of the derived Fukaya category of a higher genus surface <math>\Sigma </math> is isomorphic to <math>H^1(\Sigma,\mathbb{Z})\oplus \mathbb{Z}/ \mathbb{Z} \oplus \mathbb{R}</math><br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3816Symplectic Geometry Seminar2012-04-22T03:46:04Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
Erkao Bao "On the Fukaya categories of higher genus surfaces"<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. He proved that the Grothendieck group of the derived Fukaya category of a higher genus surface <math>\Sigma </math> is isomorphic to <math>H^1(\Sigma,\mathbb{Z})\oplus \mathbb{Z}/\kai \mathbb{Z} \oplus \mathbb{R}</math><br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3815Symplectic Geometry Seminar2012-04-22T03:44:28Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
Erkao Bao "On the Fukaya categories of higher genus surfaces"<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. He proved that the Grothendieck group of the derived Fukaya category of a higher genus surface <math>\Sigma </math> is isomorphic to <math>H^1(\Sigma,\mathbb{Z})</math><br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3814Symplectic Geometry Seminar2012-04-22T03:42:42Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| On the Fukaya categories of higher genus surfaces.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
Erkao Bao "On the Fukaya categories of higher genus surfaces"<br />
<br />
I will present Abouzaid's paper: http://arxiv.org/abs/math/0606598. He proved that the Grothendieck group of the derived Fukaya category is isomorphic to <math>$H^1(\Sigma)$</math><br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Symplectic_Geometry_Seminar&diff=3813Symplectic Geometry Seminar2012-04-22T03:38:35Z<p>Bao: </p>
<hr />
<div>Wednesday 2:15pm-4:30pm VV B139<br />
<br />
*If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 8th<br />
|Lino<br />
| Title<br />
|-<br />
|-<br />
|Feb. 15th<br />
|Kaileung Chan<br />
| Title<br />
|-<br />
|-<br />
|Feb. 22st<br />
|Chit Ma<br />
| Title<br />
|-<br />
<br />
|-<br />
|Feb. 29th<br />
|Dongning Wang<br />
|Seidel elements and mirror transformations<br />
|-<br />
|-<br />
|March. 7th<br />
|Jie Zhao<br />
| Title<br />
|-<br />
|-<br />
|March. 14th<br />
|Peng Zhou<br />
| Title<br />
|-<br />
|-<br />
|March. 21th<br />
|Jae-ho Lee<br />
| Title<br />
|-<br />
|-<br />
|March. 28th<br />
|Dongning Wang<br />
|Proof of the Triviality Axiom and Composition Axiom of Seidel Representation<br />
|-<br />
|April. 11th<br />
|Cheol-Hyun Cho<br />
| Title<br />
|-<br />
|-<br />
|April. 18th<br />
|Louis Lau<br />
| Title<br />
|-<br />
|-<br />
|April. 25th<br />
|Erkao Bao<br />
| Title: On the Fukaya Categories of higher genus curves.<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Dongning Wang''' ''Seidel elements and mirror transformations''<br />
<br />
Abstract:<br />
<br />
I will talk about the following paper by Eduardo Gonzalez, Hiroshi Iritani:<br />
<br />
Seidel elements and mirror transformations<br />
<br />
http://arxiv.org/abs/1103.4171<br />
<br />
'''Dongning Wang''' "Proof of the Triviality Axiom and Composition Axiom of Seidel Representation"<br />
<br />
Abstract:<br />
<br />
I will briefly review the definition of Seidel representation, then introduce parametrized group action, Kuranishi structure, equivariant Kuranishi structure and parametrized equivariant Kuranishi structure, and use these to prove the triviality axiom of Seidel representation. To prove the composition axiom, I will construct a Lefschetz fibration, then consider then moduli spaces this space and their Kuranishi structures. Finally, if time permitted, I will mention the extra ingredients needed for orbifold Seidel representation.<br />
<br />
==Past Semesters ==<br />
*[[ Spring 2011 Symplectic Geometry Seminar]]<br />
*[[ Fall 2011 Symplectic Geometry Seminar]]</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Learning_Seminar_of_Oh%27s_Students&diff=1594Learning Seminar of Oh's Students2011-02-01T16:26:00Z<p>Bao: </p>
<hr />
<div>Wednesday 3:30pm-4:30pm<br />
If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 2nd<br />
|Jie Zhao<br />
|Witten's Proof of Morse Inequality<br />
|-<br />
|-<br />
|Feb. 9th<br />
|Rui Wang<br />
|A simpler proof of the generical existence of nondegenerate contact forms<br />
|-<br />
|-<br />
|Feb. 16th<br />
|Dongning Wang<br />
|On orbifold fibered over a manifold<br />
|-<br />
|-<br />
|Mar 2nd<br />
|Erkao Bao<br />
|Fredholm index in SFT.<br />
|-<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Name''' ''topic''<br />
<br />
abstract</div>Baohttps://www.math.wisc.edu/wiki/index.php?title=Learning_Seminar_of_Oh%27s_Students&diff=1593Learning Seminar of Oh's Students2011-02-01T16:22:54Z<p>Bao: /* Spring 2011 */</p>
<hr />
<div>Wednesday 3:30pm-4:30pm<br />
If you would like to talk in the seminar but have difficulty with adding information here, please contact [http://www.math.wisc.edu/~dwang Dongning Wang]<br />
<br />
<br />
== Spring 2011 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Feb. 2nd<br />
|Jie Zhao<br />
|Witten's Proof of Morse Inequality<br />
|-<br />
|-<br />
|Feb. 9th<br />
|Rui Wang<br />
|A simpler proof of the generical existence of nondegenerate contact forms<br />
|-<br />
|-<br />
|Feb. 16th<br />
|Dongning Wang<br />
|On orbifold fibered over a manifold<br />
|-<br />
|-<br />
|Feb 23rd<br />
|Erkao Bao<br />
|Fredholm index in SFT.<br />
|-<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
'''Name''' ''topic''<br />
<br />
abstract</div>Bao