Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, February 26, 2014.

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Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2014          February 2014            March 2014     
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           1  2  3  4                      1                      1
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Wednesday, February 26, 2014

3:00 pm in 145 Altgeld Hall,Wednesday, February 26, 2014

Generalized Harish-Chandra Modules

Sarah Kitchen (University of Michigan)

Abstract: Harish-Chandra modules, together with Beilinson-Bernstein localization, are well known to allow the study of representations of real Lie groups from a complex algebraic perspective. These modules are simultaneously a representation of the complexification of the Lie algebra and maximal compact subgroup of the real group. Generalized Harish-Chandra modules weaken these requirements on the pair by taking any semi-simple complex Lie algebra, and any reductive subalgebra. In this talk, I will explain new considerations that must be taken into account in order to localize these objects and a geometric approach to a conjecture of Penkov and Zuckerman, which categorifies a parameterization of some of the irreducible modules.

4:00 pm in 245 Altgeld Hall,Wednesday, February 26, 2014

Symplectic Non-Squeezing and Beltrami equation

Alexander Tumanov (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: In his celebrated paper of 1985, Gromov developed a theory of J-complex curves as a powerful tool in symplectic geometry. One of the headlines of that paper is the Non-Squeezing Theorem. Another matter is the classical Beltrami equation, which goes back to Gauss. I will show that the two are related, in particular, how to prove Gromov's theorem by means of the Beltrami equation.