Algebraic geometry, complex analysis and combinatorics in spectral
theory of periodic graph operators
November 29, 2023
3:00 pm PGH 646 (in person)
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 by highlighting recent discoveries
about these properties, especially their irreducibility. Then, I will show
how we can use these findings, together with techniques from complex
analysis and combinatorics, to study spectral and inverse spectral
problems arising from periodic operators.
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Last modified: April 11 2016 - 18:14:43