Department of

# Mathematics

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

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    February 2006            March 2006             April 2006
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4             1  2  3  4                      1
5  6  7  8  9 10 11    5  6  7  8  9 10 11    2  3  4  5  6  7  8
12 13 14 15 16 17 18   12 13 14 15 16 17 18    9 10 11 12 13 14 15
19 20 21 22 23 24 25   19 20 21 22 23 24 25   16 17 18 19 20 21 22
26 27 28               26 27 28 29 30 31      23 24 25 26 27 28 29
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.