Difference between revisions of "Symplectic Geometry Seminar"

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Wednesday 3:30pm-4:30pm VV B139
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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 [http://www.math.wisc.edu/~dwang Dongning Wang]
 
*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]
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!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
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|Sept. 21st
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|date
|Ruifang Song
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| name
| The Picard-Fuchs equations of Calabi-Yau hypersurfaces in partial flag varieties
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|Title
 
|-
 
|-
 
|-
 
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|Sept. 28st
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|
|Ruifang Song
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| The Picard-Fuchs equations of Calabi-Yau hypersurfaces in partial flag varieties(continued)
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|
|-
 
|-
 
|Oct. 5th
 
|Dongning Wang
 
|Seidel Representation for Symplectic Orbifolds
 
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|}
 
|}
  
 
== Abstracts ==
 
== Abstracts ==
  
'''Ruifang Song''' ''The Picard-Fuchs equations of Calabi-Yau hypersurfaces in partial flag varieties ''
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'''name''' ''title ''
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Abstract:
  
Abstract
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???
  
We introduce a system of differential equations associated to a smooth algebraic variety X acted by a complex Lie group G and a G-linearlized line bundle L on X. We show that this system is holonomic and thus has finite dimensional solution space assuming G acts on X with finitely many orbits. When X is a partial flag variety, we show that this system gives the Picard-Fuchs system of Calabi-Yau hypersurfaces in X. In particular, when X is a toric variety, our construction recovers GKZ systems and extended GKZ systems, which have played important roles in studying periods of Calabi-Yau hypersurfaces/complete intersections in toric varieties. In general, if X is a Fano variety, L is the anticanonical line bundle and G=Aut(X), this construction can be used to study the Picard-Fuchs system of Calabi-Yau hypersurfaces/complete intersections in X.
 
  
 
==Past Semesters ==
 
==Past Semesters ==
 
*[[ Spring 2011 Symplectic Geometry Seminar]]
 
*[[ Spring 2011 Symplectic Geometry Seminar]]
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*[[ Fall 2011 Symplectic Geometry Seminar]]
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*[[ Spring 2012 Symplectic Geometry Seminar]]
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*[[ Fall 2012 Symplectic Geometry Seminar]]

Latest revision as of 13:38, 4 February 2013

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


date speaker title host(s)
date name Title

Abstracts

name title

Abstract:

???


Past Semesters