Events for 10/22/2021 from all calendars

Working Seminar on Banach and Metric Spaces

Time: 1:00PM - 3:00PM

Location: BLOC 302

Speaker: Garrett Tresch, Texas A&M University

Title: Ramsey theorem

Noncommutative Geometry Seminar

Time: 2:00PM - 3:00PM

Location: ZOOM

Speaker: Inna Zakharevich, Cornell University

Title: Characteristic polynomials and traces

Abstract: In this talk we give a description of a lift of the Dennis trace and the characteristic polynomial to TR using the framework of bicategories and bicategorical traces. The goal of this construction is to demonstrate that TR is the natural home of the characteristic polynomial, and to give a natural and clean demonstration of this fact. The overarching goal of this project is to show that most traces have natural interpretations in terms of bicategories; time permitting, we will show that the Reidemeister trace associated to a self-map of a finite CW complex is another example of such a construction.

URL: Event link

Geometry Seminar

Time: 4:00PM - 5:00PM

Location: zoom

Speaker: Daniel Grady, Texas Tech University

Title: The geometric cobordism hypothesis

Abstract: The cobordism hypothesis of Baez--Dolan, whose proof was sketched by Lurie, provides a beautiful classification of topological field theories: for every fully dualizable object in a symmetric monoidal (infinity,d) category, there is a unique (up to a contractible choice) topological field theory whose value at the point coincides with this object. As beautiful as this classification is, it fails to include non-topological field theories. Such theories are important not just in physics, but also in pure mathematics (for example, Yang-Mills). In this talk, I will survey recent work with Dmitri Pavlov, which proves a geometric enhancement of the cobordism hypothesis. In the special case of topological structures, our theorem reduces to the first complete proof of the topological cobordism hypothesis, after the 2009 sketch of Lurie.