Department of

# Mathematics

Seminar Calendar
for events the day of Monday, April 9, 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, April 9, 2018

3:00 pm in 345 Altgeld Hall,Monday, April 9, 2018

#### Unexpecteded Grassmannians in the Scanning Area

###### Cameron Rudd (UIUC Math)

Abstract: This talk will be a brief overview of a geometric corner of homotopy theory from the perspective of someone who doesn't know any homotopy theory. I will discuss spaces of embeddings, the scanning map and theorems of Barratt-Priddy-Quillen and Madsen-Weiss. Title is result of joint work with Hadrian Quan.

4:00 pm in 245 Altgeld Hall,Monday, April 9, 2018

#### On Noncommutative Topological Spaces

###### Zhong-Jin Ruan   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: In this talk, we first introduce the definition of $C^*$-algebras. Then we explain why we can regard $C^*$-algebras as noncommutative topological spaces. Finally we show some examples (if time is available).

5:00 pm in 241 Altgeld Hall,Monday, April 9, 2018

#### An $\ell_2$-proof of Gaboriau's theorem

###### Anton Bernshteyn (Illinois Math)

Abstract: In this episode of the Operator Algebras Learning Seminar, we will finally put everything together and prove Gaboriau's "treeings realize cost" theorem using Hilbert modules and von Neumann dimension.