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Wednesday, September 17, 2008

Algebra, Geometry and Combinatorics Seminar
3:00 pm   in Altgeld Hall 345,  Wednesday, September 17, 2008
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Submitted by ayong.
 Rinat Kedem (Department of Mathematics, University of Illinois)Finite dimensional representations of quantum affine algebrasand cluster algebrasAbstract: There is a subset of finite-dimensional quantum affine algebra modules which seems to have a particularly simple description. In the case of g=A_n, they are analogues of modules with "rectangular highest weights". The (q)-characters of these modules satisfy a closed system of recursion relations. These are discrete integrable systems or discrete Hirota equations in special cases. As a result one can write fermionic formulas for their characters. One can also reformulate the category as a cluster algebra, to help prove such formulas. I will explain these words, as well as the general picture about how several different theorems fit into it.

Math 499: Introduction to Graduate Mathematics
4:00 pm   in 245 Altgeld Hall,  Wednesday, September 17, 2008
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Submitted by seminar.
 TODAY'S LECTURE HAS BEEN CANCELLED.