Department of

# Mathematics

Seminar Calendar
for events the day of Monday, March 9, 2020.

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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, March 9, 2020

3:00 pm in 243 Altgeld Hall,Monday, March 9, 2020

#### Semitoric systems: non-simple systems and explicit examples

###### Joseph Palmer (University of Antwerp)

Abstract: We give an overview of the theory of semitoric integrable systems, which are certain four dimensional integrable systems admitting a circular symmetry. We introduce the classical theory, and discuss recent progress expanding the classification to include systems with multi-pinched fibers and new constructions of systems. The talk should require minimal background and be accessible to those not familiar with integrable systems. Portions of the presented work are joint with S. Hohloch, Y. Le Floch, A. Pelayo, and X. Tang.

3:00 pm in 441 Altgeld Hall,Monday, March 9, 2020

#### Some applications of tangent categories

###### Tsutomu Okano (Illinois Math)

Abstract: The cotangent complex formalism is a useful framework for developing obstruction theoretic tools such as Andre-Quillen cohomology. I will present a theorem that identifies the tangent categories of Cat_S, where S is some symmetric monoidal infinity-category. Some more example applications of this formalism will follow.