# Colloquium: Fritz Gesztesy

Event Type:

Colloquium

Speaker:

Fritz Gesztesy, Baylor University

Event Date:

Thursday, March 22, 2018 -

3:30pm to 4:30pm

Location:

SMLC 356

Audience:

Faculty/StaffStudents

Sponsor/s:

Maxim Zinchenko

### Event Description:

Title: Trace formulas and zeta functions for differential operators - or, a spectral theorist computes pi

Abstract: We discuss an effective method of computing traces, determinants, and zeta functions for some classes of linear operators and apply this to the concrete case of Sturm-Liouville operators.

To illustrate the formalism, we will sketch a spectral theorist's computation of pi, Jacobi’s classical transformation formula for one-dimensional theta functions (utilizing the heat equation on the circle), and sketch a derivation of a formula for Apery’s constant, zeta(3), employing a trace formula.

The talk will minimize technicalities and be accessible to students.

This is based in part on recent joint work with Klaus Kirsten.