Department of

Mathematics


Seminar Calendar
for events the day of Monday, October 31, 2016.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, October 31, 2016

4:00 pm in 241 Altgeld Hall,Monday, October 31, 2016

Picard Groups of b-Symplectic Manifolds

Joel Villatoro (Illinois)

Abstract: The Picard group of a Poisson manifold can be morally thought of as the automorphisms of the 'leaf space.' Explicit computations of the Picard group are fairly rare. In a 2004 paper by Radko and Shlyakhtenko, the Picard group for a closed b-symplectic surface was computed explicitly in terms of the mapping class groups of the open leaves. This talk will introduce a generalization of their work to arbitrary dimension for 'stable' b-symplectic manifolds.

4:00 pm in 245 Altgeld Hall,Monday, October 31, 2016

Random growth models and Universality

Partha Dey (Department of Mathematics, University of Illinois)

Abstract: Random growth patterns can be observed in various aspects of our daily life, starting from spreading of infections or information, crystal growth, forest fires, polymerization and so on. We will discuss several models of random growth in one and two dimension, and present some rigorous results. We will also discuss the big conjecture about universal behavior.

5:00 pm in Altgeld Hall 241,Monday, October 31, 2016

II_1 Factors with non-isomorphic ultrapowers

Stephen Longfield (UIUC)

Abstract: We follow the recent results of Boutonnet, Chifan, and Ioana establishing the existence of uncountably many II_1 factors with non-isomorphic ultrapowers. This resolves the question of how many elementary equivalence classes of II_1 factors exist.