Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, December 1, 2004.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    November 2004          December 2004           January 2005
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  5  6             1  2  3  4                      1
7  8  9 10 11 12 13    5  6  7  8  9 10 11    2  3  4  5  6  7  8
14 15 16 17 18 19 20   12 13 14 15 16 17 18    9 10 11 12 13 14 15
21 22 23 24 25 26 27   19 20 21 22 23 24 25   16 17 18 19 20 21 22
28 29 30               26 27 28 29 30 31      23 24 25 26 27 28 29
30 31


Wednesday, December 1, 2004

12:00 pm in 136 Burrill,Wednesday, December 1, 2004

#### Stochastic Models of Ion Channels

###### Bruce Hajek   [email] (UIUC ECE)

Abstract: The talk addresses the problem of modeling the flow of ions through channels formed by proteins embedded in cell membranes. Reversibility, diffusion limits, and excursions are useful tools in the analysis. The talk is based on joint work with my former student Juan Alvarez.

2:00 pm in 148 Henry,Wednesday, December 1, 2004

#### The variety of Lagrangian subalgebras and Poisson homogeneous spaces

###### Samuel Evens (University of Notre Dame)

Abstract: I will discuss the variety of Lagrangian subalgebras in the direct sum of a complex semisimple Lie algebra with itself. I will describe its irreducible components in terms of generalized Belavin-Drinfeld triples, orbits of a diagonal subgroup on this variety, and recover the Belavin-Drinfeld classification of quasi-triangular R-matrices. The variety of Lagrangian subalgebras has a Poisson structure, and I will explain how to compute its rank at any point.

3:00 pm in 1 Illini Hall,Wednesday, December 1, 2004

#### Finite Representations of a quiver arising from string theory

###### Xinyun Zhu (UIUC Math)

Abstract: In a continuation of Cachazo, Katz and Vafa (Geometric transitions and N=1 theories'' (hep-th/0108120)), we examine representations of N=1 quivers'' arising from string theory. We derive some mathematical consequences of the physics, and show that these results are a natural extension of Gabriel's ADE theorem. Extending the usual ADE case that relates quiver representations to curves on surfaces, we relate these new quiver representations to curves on threefolds.

4:00 pm in 341 Altgeld Hall,Wednesday, December 1, 2004