Department of

Mathematics


Seminar Calendar
for events the day of Friday, October 17, 2014.

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Friday, October 17, 2014

4:00 pm in 243 Altgeld Hall,Friday, October 17, 2014

A Brief Look at the Arnold-Liouville Theorem

Marissa Loving (UIUC Math)

Abstract: Hamiltonian Systems are an intrinsic part of our world and appear in examples as basic as a simple pendulum, rotations on a sphere, and even the motion of a top. Of course, it is natural to ask when considering such examples: do these systems have solutions? We will consider Hamiltonian Systems where the answer to this question is yes, that is Completely Integrable Hamiltonian Systems. It turns out that the Arnold-Liouville Theorem gives us a characterization of the dynamics of such systems. Our goal will be to give a sketch of the proof assuming only basic knowledge of symplectic manifolds and differential topology.

4:00 pm in 345 Altgeld Hall,Friday, October 17, 2014

Szemeredi's Lemma for the Analyst

Mahmood Etedadialiabadi (UIUC)

Abstract: I will discuss Szemeredi Regularity, an analytic analogue of Szemeredi Regularity and the theory of limits of sequences of finite graphs. This is the forth talk in a series the paper "Szemeredi's Lemma for the Analyst" by Lovasz-Szegedy.

4:00 pm in 241 Altgeld Hall,Friday, October 17, 2014

Elementary amenable groups are quasidiagonal

Mikael Rordam (University of Copenhagen)

Abstract: J. Rosenberg proved that if the reduced C*-algebra of a discrete group is quasidiagonal, then the group is amenable, and he conjectured that the reverse may also hold. We confirm this conjecture for a class of groups that contains the elementary amenable groups as well as LEF groups. The proof uses recent developments in the classification theory for nuclear C*-algebras. This is a joint work with N. Ozawa and Y. Sato.