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Texas A&M University
Mathematics

Events for 09/02/2016 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

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Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Tracy Weyand, Baylor University

Title: Zeta Functions of the Dirac Operator on Quantum Graphs

Abstract: The spectral zeta function generalizes the Riemann zeta function by replacing the sum over integers with a sum over a spectrum. Here we consider the spectrum of the Dirac operator acting on a metric graph. Since all eigenvalues are roots of a secular equation, we can calculate the spectral zeta function by applying the argument principle to a particular contour integral. This will be done first for a rose graph, and then for general graphs with self-adjoint vertex matching conditions. We will also discuss how this function can then be used to compute the spectral determinant.

Based on joint work with J. M. Harrison and K. Kirsten, arXiv:1606.07834.


Algebra and Combinatorics Seminar

iCal  iCal

Time: 3:00PM - 3:50PM

Location: BLOC 628

Speaker: Jens Forsgård and Catherine Yan, Texas A&M University

Title: Organizational Meeting