Department of Mathematics Calendar

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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

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Symplectic and Poisson Geometry Seminar: Frobenius objects in the symplectic category

Event Type
Seminar/Symposium
Sponsor
Symplectic and Poisson Geometry Seminar
Location
347 Altgeld Hall
Date
Sep 26, 2022   3:00 pm  
Speaker
Rajan Mehta
Contact
Joseph Palmer
E-Mail
jpalmer5@illinois.edu
Views
39

Roughly, a topological quantum field theory is a functor from a cobordism category to the category of vector spaces. The classical analogue should take values in symplectic manifolds instead of vector spaces. In this talk, Rajan Mehta will describe some ongoing work aimed at trying to characterize such functors in terms of algebraic and geometric data, including what is meant by 'symplectic category,' how the categories of spans and relations provide simple models for it, and how Frobenius objects in the categories of spans and relations correspond to simplicial sets satisfying certain conditions. This is based on various joint works with Ivan Contreras, Molly Keller, Adele Long, Sophia Marx, Walker Stern, and Ruoqi Zhang.

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