AMUSE

Date: November 15, 2023

Time: 6:00PM - 7:00PM

Location: BLOC 302

Speaker: Wencai Liu, Texas A&M University

Title: Algebraic geometry, complex analysis and combinatorics in inverse spectral problems of periodic graph operators

Abstract: In this talk, we will discuss the significant role that the algebraic and analytic properties of complex Bloch and Fermi varieties play in the study of periodic operators. I will begin with some basics of periodic graph operators. Then, I will discuss our recent work, demonstrating how techniques from algebraic geometry, complex analysis, and combinatorics can be applied to investigate inverse spectral problems.