Department of

# Mathematics

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

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    September 2014          October 2014          November 2014
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


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

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.