Peter Kuchment, Analytic geometry of dispersion relation (Bloch variety) and Fermi surface
Channel: Scrambled Maths
Date: 2021-09-08

Peter Kuchment, Analytic geometry of dispersion relation (Bloch variety) and Fermi surface

Abstract:
This is a brief survey of known (and conjectured) properties of the Bloch and Fermi varieties as analytic sets and their relations to spectral/physics properties of the periodic operator in question. Time permitting, both continuous and discrete (tight binding) models will be addressed.

Recording of the workshop "Learning from Insulators: New Trends in the Study of Conductivity of Metals". For additional material and information, please consult the workshop page https://www.lorentzcenter.nl/learning-from-insulators-new-trends-in-the-study-of-conductivity-of-metals.html