Fermi variety for periodic operators and its applications

Series
Math Physics Seminar
Time
Thursday, March 16, 2023 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Wencai Liu – Texas A&M University – wencail@tamu.edu
Organizer
Michael Loss

The Fermi variety plays a crucial role in the study of    periodic operators.  In this talk, I will  first discuss recent works on the irreducibility of  the Fermi variety  for discrete periodic Schr\"odinger  operators.   I will then  discuss the applications to  solve  problems of embedded eigenvalues, isospectrality and quantum ergodicity.