Seminar Calendar
for events the day of Wednesday, October 26, 2011.

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Wednesday, October 26, 2011

Women's Seminar
3:00 pm   in 443 Altgeld Hall,  Wednesday, October 26, 2011
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Submitted by funk3.
Aleksandra Kwiatkowska (Department of Mathematics, University of Illinois)
Fraisse limits and topological groups with large conjugacy classes.
Abstract: In the first part of the talk, I will discuss some examples and properties of topological groups with a dense conjugacy class, with a comeager conjugacy class, and with ample generics. Then, I will introduce and give several examples of Fraisse limits and of projective Fraisse limits.

In the second part of the talk, I will focus on H(K)---the group of all homeomorphisms of the Cantor set. Answering a question of Kechris and Rosendal, I will show that this group has ample generics, that is, I will show that for every m the diagonal conjugacy action of H(K) on H(K)^m has a comeager orbit. Moreover, I will show that the ``generic'' m-tuple can be realized as a projective Fraisse limit.

This talk will be accessible to a general mathematical audience.

Math 499: Introduction to Graduate Mathematics
4:00 pm   in 245 Altgeld Hall,  Wednesday, October 26, 2011
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Submitted by seminar.
Yuliy Baryshnikov (Department of Mathematics, University of Illinois)
Planar Quantum Random Walks
Abstract: Planar quantum random walks can be viewed as a version of Grover's quantum search algorithm, as a discretization of Dirac's operator, or as a quick way to create nice moire patterns. I will describe PQRWs from scratch, and will relate them to the geometry of some polynomials in 3 variables.