Department of

# Mathematics

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

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events for the
events containing

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

#### Whitehead’s Theorem for Modules Over the Steenrod Algebra

###### Liz Tatum (UIUC Math)

Abstract: In this talk, I’ll 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 Whitehead’s 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