Symplectic Geometry Seminar: Difference between revisions

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Wednesday 3:30pm-4:30pm VV B139
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
|date
|Ruifang Song
| name
| The Picard-Fuchs equations of Calabi-Yau complete intersections in homogeneous spaces
|Title
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|Sept. 28th
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|Dongning Wang
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|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 ''
'''name''' ''title ''
 
Abstract


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.
Abstract:


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, suppose 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]]
*[[ Fall 2011 Symplectic Geometry Seminar]]
*[[ Spring 2012 Symplectic Geometry Seminar]]
*[[ Fall 2012 Symplectic Geometry Seminar]]

Latest revision as of 18:38, 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