Difference between revisions of "Algebraic Geometry Seminar Spring 2012"

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(Spring 2012)
(Spring 2012)
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|''Symplectic resolutions and Poisson-de Rham homology''
 
|''Symplectic resolutions and Poisson-de Rham homology''
 
|Andrei
 
|Andrei
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|-
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|February 10
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|[http://www.math.wisc.edu/~ballard/ Matthew Ballard] (UW-Madison)
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|''Variation of GIT for gauged Landau-Ginzburg models''
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|(local)
 
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|February 17
 
|February 17

Revision as of 15:32, 28 January 2012

The seminar meets on Fridays at 2:25 pm in Van Vleck B215.

The schedule for the previous semester is here.

Spring 2012

date speaker title host(s)
January 27 Sukhendu Mehrotra (Madison) Generalized deformations of K3 surfaces (local)
February 3 Travis Schedler (MIT) Symplectic resolutions and Poisson-de Rham homology Andrei
February 10 Matthew Ballard (UW-Madison) Variation of GIT for gauged Landau-Ginzburg models (local)
February 17 Arend Bayer (UConn) TBD Andrei
February 24 Laurentiu Maxim (UW-Madison) TBD local
March 2 Marti Lahoz (Bonn) TBD Sukhendu
March 9 Shilin Yu (Penn State) TBD Andrei
March 16 Weizhe Zheng (Columbia) TBD Tonghai
March 23 Ryan Grady (Notre Dame) Twisted differential operators as observables in QFT. Andrei
April 27 Ursula Whitcher (UW-Eau Claire) TBA Matt
May 4 Mark Andrea de Cataldo (Stony Brook) TBA Laurentiu

Abstracts

Sukhendu Mehrotra

Generalized deformations of K3 surfaces

Travis Schedler

Symplectic resolutions and Poisson-de Rham homology

Abstract: A symplectic resolution is a resolution of singularities of a singular variety by a symplectic algebraic variety. Examples include symmetric powers of Kleinian (or du Val) singularities, resolved by Hilbert schemes of the minimal resolutions of Kleinian singularities, and the Springer resolution of the nilpotent cone of semisimple Lie algebras. Based on joint work with P. Etingof, I define a new homology theory on the singular variety, called Poisson-de Rham homology, which conjecturally coincides with the de Rham cohomology of the symplectic resolution. Its definition is based on "derived solutions" of Hamiltonian flow, using the algebraic theory of D-modules. I will give applications to the representation theory of noncommutative deformations of the algebra of functions of the singular variety. In the examples above, these are the spherical symplectic reflection algebras and finite W-algebras (modulo their center).