Events for 09/02/2016 from all calendars
Mathematical Physics and Harmonic Analysis Seminar
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
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Jens Forsgård and Catherine Yan, Texas A&M University
Title: Organizational Meeting