Geometry/Physics Seminar

Title: Counting finite dimensional irreducible representations over quantizations of symplectic resolutions.
Speaker: Ivan Loseu
Speaker Info: Northeastern University
Brief Description:
Special Note:

A basic problem in Representation theory is, given an algebraic object such as a group, an associative algebra or a Lie algebra, to study its finite dimensional irreducible representations. The first question, perhaps, is how many there are. In my talk I will address this question for associative algebras that are quantizations of algebraic varieties admitting symplectic resolutions. Algebras arising this way include universal enveloping algebras of semisimple Lie algebras, as well as W-algebras and symplectic reflection algebras. The counting problem is a part of a more general program due to Bezrukavnikov and Okounkov relating the representation theory of quantizations to Quantum cohomology of the underlying symplectic varieties. It is also supposed to have other connections to Geometry. I will consider the case of quotient singularities and will make the exposition non-technical.
Date: Thursday, January 9, 2014
Time: 4:00pm
Where: Lunt 107
Contact Person: Michael Couch
Contact email: mcouch@math.northwestern.edu
Contact Phone:
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