Department of

Mathematics

Seminar Calendar
for events the day of Monday, February 19, 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, February 19, 2018

3:00 pm in 243 Altgeld Hall,Monday, February 19, 2018

Symplectic groupoids and monoidal Fukaya categories

James Pascaleff (UIUC)

Abstract: I will describe how a groupoid structure on a symplectic manifold naturally induces a monoidal structure on its Fukaya category. This provides a unifying perspective on the various known monoidal structures on Fukaya categories. As an application, I will use this framework to address the question of when Lagrangian Floer cohomology rings are commutative.

3:00 pm in Altgeld Hall 345,Monday, February 19, 2018

Why should homotopy theorists care about homotopy type theory?

Nima Rasekh (UIUC Math)

Abstract: There is this new branch of mathematics known as homotopy type theory, which combines concepts from logic, computer science and homotopy theory. While it is clearly not necessary to know homotopy type theory to learn homotopy theory there are certain aspects that can be beneficial. The goal of this talk is to point to some of those aspects of homotopy type theory that can be beneficial to our understanding of homotopy theory.

4:00 pm in 245 Altgeld Hall,Monday, February 19, 2018

Initial and boundary value problems for dispersive partial differential equations

Nikos Tzirakis   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: In this talk we will introduce some basic methods based on Fourier transform techniques to obtain solutions for some nonlinear dispersive partial differential equations that are posed on an infinite or a semi-infinite domain. Examples include the Korteweg de Vries equation (KdV) and the nonlinear Schrodinger equation (NLS).

5:00 pm in 241 Altgeld Hall,Monday, February 19, 2018

Modules and Cost

Marius Junge and Anush Tserunyan

Abstract: We will present some examples of Hilbert W*-modules and start with the cost of an equivalence relation.