Difference between revisions of "Symplectic Geometry Seminar"
|Line 72:||Line 72:|
== Abstracts ==
== Abstracts ==
'''Dongning ''' ''Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation''
Revision as of 23:57, 2 November 2012
Wednesday 3:30pm-5:00pm VV B139
- If you would like to talk in the seminar but have difficulty with adding information here, please contact Dongning Wang
|09/19||Rui Wang||The canonical connection on contact manifolds|
|09/26||Rui Wang||An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds|
|10/03||Erkao Bao, Jaeho Lee||Symplectic Homology1|
|10/10||Dongning Wang, Jie Zhao||Symplectic HomologyII|
|10/17||no seminar this week|
|10/24||Wenfeng Jiang||Classification of Free Hamitolnian-its mathematics foundation|
|11/07||Dongning Wang||Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation|
Rui Wang The canonical connection on contact manifolds "An tensorial proof of exponential decay of pseudo-holomorphic curves on contact manifolds"
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.
Dongning Wang Quantum Cohomology Ring of Toric Orbifolds via Seidel Representation
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.