Department of

Mathematics


Seminar Calendar
for events the day of Monday, December 3, 2018.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, December 3, 2018

3:00 pm in 243 Altgeld Hall,Monday, December 3, 2018

The cohomology of Courant algebroids and their Characteristic Classes

Miquel Cuenca (IMPA)

Abstract: Courant algebroids originated over 20 years ago motivated by constrained mechanics but now play an important role in Poisson geometry and related areas. Courant algebroids have an associated cohomology, which is hard to describe concretely. Building on work of Keller and Waldmann, I will show an explicit description of the complex of a Courant algebroid where the differential satisfies a Cartan-type formula. This leads to a new viewpoint on connections and representations of Courant algebroids and allows us to define new invariants as secondary charcateristic classes, analogous to what Crainic and Fernandes did for Lie algebroids. This is joint work with R. Mehta.

3:00 pm in 345 Altgeld Hall,Monday, December 3, 2018

Whiteheadís Theorem for Modules Over the Steenrod Algebra

Liz Tatum (UIUC Math)

Abstract: In this talk, Iíll discuss a stable category of modules over the Steenrod algebra. This category has many parallels to the homotopy category of spaces, with Margolis homology playing the role of homotopy groups. For example, this category includes a version of Whiteheadís Theorem. I will present this theorem along with some related results and applications.

4:00 pm in 245 Altgeld Hall,Monday, December 3, 2018

Complex analysis of one variable

Aimo Hinkkanen   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: I will give a brief overview of several areas of complex analysis of one variable, including value distribution theory, quasiconformal mappings, and complex dynamics.

5:00 pm in Altgeld Hall,Monday, December 3, 2018

On Witten's QIT paper

Fikret Ceyhan (UIUC physics)

Abstract: We start with with physics aspect of Witten's paper.