Department of

# Mathematics

Seminar Calendar
for events the day of Monday, April 15, 2019.

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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 15, 2019

3:00 pm in 343 Altgeld Hall,Monday, April 15, 2019

#### Group Theory for Homotopy Theorists

###### Brian Shin (UIUC Math)

Abstract: In this expository talk, we'll introduce a model structure on the category of groups and demonstrate how to effectively study groups using this model. This model has the technical advantage of avoiding the overly abstract definition of a group via sets with binary operation. It also allows for clean definitions of colimits and free objects. If time permits, we'll discuss monoidal structures for a certain localization of this model structure. This is based on a short article by Krause-Nikolaus.

5:00 pm in 241 Altgeld Hall,Monday, April 15, 2019

#### Complete Logarithmic Sobolev Inequalities (CSLI) and Ricci Curvature

###### Haojian Li (UIUC)

Abstract: First we would continue Eddie's talk and start with how the connection on a G-bundle induces a connection on the associated bundle naturally. Then a brief introduction about the quantum information will be included. We would focus on formulating the CLSI problem today and show that the CLSI constants depend on the lower bound of Ricci curvature. If time permits, we would also apply our machinery to Hormander system.