Topics on Fermi varieties of discrete periodic Schr\"odinger operators
Wencai Liu
TL;DR
This survey reviews recent advances in understanding the algebraic and spectral properties of Fermi varieties associated with discrete periodic Schrödinger operators, focusing on irreducibility, rigidity, and embedded eigenvalues.
Contribution
It compiles and discusses recent progress on key spectral and algebraic problems related to Fermi varieties in discrete periodic Schrödinger operators.
Findings
Progress on irreducibility of Fermi varieties
Results on rigidity of spectral structures
Insights into embedded eigenvalue problems
Abstract
This is a survey of recent progress on the irreducibility of Fermi varieties, rigidity results and embedded eigenvalue problems of discrete periodic Schr\"odinger operators.
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