A primer on the spectral zeta function

Analysis and Operator Theory Seminar
April 6, 2023
11:30 am - 12:30 pm
MW 154

Date Range
2023-04-06 11:30:00 2023-04-06 12:30:00 A primer on the spectral zeta function Title:  A primer on the spectral zeta function Speaker:  Guglielmo Fucci (East Carolina University) Speaker's URL:  http://myweb.ecu.edu/fuccig/ Abstract:  Important properties of physical systems in the ambit of quantum field theory are often encoded in the spectrum of Laplace-type operators. To analyze such properties the spectrum is organized in the form of so-called spectral functions. The most prominent spectral function employed in mathematical physics is the spectral zeta function. This talk will serve as a gentle introduction to this important function and will illustrate, through simple examples, the analytic techniques used to study it. This talk is designed to provide the audience with a basic understanding of the spectral zeta function and its potential applications and is especially suitable for graduate students and non-experts. URL associated with Seminar:  https://u.osu.edu/aots/ MW 154 America/New_York public

Title:  A primer on the spectral zeta function

Speaker:  Guglielmo Fucci (East Carolina University)

Speaker's URL:  http://myweb.ecu.edu/fuccig/

Abstract:  Important properties of physical systems in the ambit of quantum field theory are often encoded in the spectrum of Laplace-type operators. To analyze such properties the spectrum is organized in the form of so-called spectral functions. The most prominent spectral function employed in mathematical physics is the spectral zeta function. This talk will serve as a gentle introduction to this important function and will illustrate, through simple examples, the analytic techniques used to study it. This talk is designed to provide the audience with a basic understanding of the spectral zeta function and its potential applications and is especially suitable for graduate students and non-experts.

URL associated with Seminar:  https://u.osu.edu/aots/

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