On the structure of band edges of 2D periodic elliptic operators

Mathematical Physics

Speaker:

Ilya Kachkovskiy

Speaker Link:

http://www.math.uci.edu/~ikachkov/

Institution:

UC Irvine

Time:

Thursday, September 17, 2015 - 2:00pm to 3:00pm

Host:

Svetlana Jitomirskaya

Location:

RH 340P

For a wide class of 2D periodic elliptic operators, we show that the minima of band functions can only be attained on a discrete set of values of quasimomenta. The talk is based on joint results with Nikolay Filonov.