September 5, 2024
3:00PM
-
4:00PM
Math Tower (MW) 154
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2024-09-05 14:00:00
2024-09-05 15:00:00
Analysis and Operator Theory Seminar - Wencai Liu
Wencai LiuTexas A&M UniversityTitleAlgebraic geometry, analysis and combinatorics in the study of periodic graph operatorsAbstractIn 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.Speaker's WebsiteFor More Information About the Seminar
Math Tower (MW) 154
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ascwebservices@osu.edu
America/New_York
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Date Range
2024-09-05 15:00:00
2024-09-05 16:00:00
Analysis and Operator Theory Seminar - Wencai Liu
Wencai LiuTexas A&M UniversityTitleAlgebraic geometry, analysis and combinatorics in the study of periodic graph operatorsAbstractIn 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.Speaker's WebsiteFor More Information About the Seminar
Math Tower (MW) 154
America/New_York
public
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.
