Two dimensional periodic Schr\"odinger operators

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Speaker: 
Rui Han
Institution: 
UC Irvine
Time: 
Fri, 02/17/2017 - 1:00am - 1:50am
Host: 
Wencai Liu
Location: 
RH 510M

We will show that for any periodic potential, the spectrum contains at most finitely many gaps. Furthermore, for small enough periodic potential, the spectrum contains no gaps at all. 

This talk is based on a 1982 paper "A remark on two dimensional periodic potentials" by Dahlberg and Trubowitz.