Department of

Mathematics


Seminar Calendar
for events the day of Monday, September 18, 2017.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, September 18, 2017

3:00 pm in 243 Altgeld Hall,Monday, September 18, 2017

Non-associative local Lie groupoids

Daan Michiels (UIUC)

Abstract: Historically, local Lie groups were studied before Lie groups. Surprisingly, not every local Lie group can be embedded into a Lie group, and a theorem by Mal'cev shows that the obstructions to such embeddings can be understood in terms of the associativity of the local Lie group. In this talk, I will explain Mal'cev's theorem and show how it generalizes to the groupoid setting. Then, I will point out an intimate connection between this result, and the theory of integrability of Lie algebroids.

3:00 pm in 141 Altgeld Hall,Monday, September 18, 2017

Framed Cobordism and Stable Homotopy Groups

Brian Shin   [email] (UIUC)

Abstract: I will introduce the notion of framed cobordism describe its connection to the homotopy groups of spheres. Using this connection, I will calculate several of these groups using geometry.

4:00 pm in 245 Altgeld Hall,Monday, September 18, 2017

From Brownian motion to Levy processes

Renming Song   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: In this talk, I will briefly introduce Brownian motion and Levy processes, and their connections to analysis and PDE's.