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Analysis and Operator Theory Seminar - Wencai Liu

Wencai Liu
September 5, 2024
3:00 pm - 4:00 pm
Math Tower (MW) 154

Wencai Liu
Texas A&M University

Title
Algebraic geometry, analysis and combinatorics in the study of periodic graph operators

Abstract
In this talk, we will discuss the crucial role that the algebraic properties of complex Bloch and Fermi varieties play in the study of periodic graph operators. I will begin with an introduction to the basics of periodic graph operators, followed by a discussion of recent discoveries, particularly focusing on the irreducibility of Bloch and Fermi varieties. Next, I will demonstrate how these algebraic properties, combined with techniques from analysis and combinatorics, can be applied to address spectral and inverse spectral problems arising from periodic operators.

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Seminar - Analysis and Operator Theory