Noncommutative Geometry Seminar

Date: October 22, 2021

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.

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