Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, March 1, 2006.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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                                               30                  

Wednesday, March 1, 2006

2:00 pm in 143 Altgeld Hall,Wednesday, March 1, 2006

Cherednik algebras, Yangians and deformed double current algebras I

Nicolas Guay (UIUC Math)

Abstract: I will start by quickly recalling the different generalizations of the classical Schur-Weyl duality between $\mathfrak&ob;sl&cb;_n$ and the symmetric group $S_l$. Afterwards, I will define (trigonometric, rational) Cherednik algebras and Yangians of finite and affine type. I will describe some recent results on the theme of Schur-Weyl duality involving these algebras. The Schur-Weyl functor can be used to understand the structure of affine Yangians and deformed double-current algebras, a new class of algebras introduced in the second part of my talk. For instance, one application is the construction of PBW-bases for these algebras. I will also explain how deformed double-current algebras can be viewed as limit forms of affine Yangians and how to define them in three different ways. I will end by mentioning briefly two possible avenues for future research on this subject.

4:00 pm in 245 Altgeld Hall,Wednesday, March 1, 2006

Algebraic Topology

Randy McCarthy (Department of Mathematics, UIUC)

Abstract: A brief introduction to algebraic topology and some of the goals of Math 525.