Topology Seminar: Daniel Sheinbaum
Topic
Topology of Fermi surfaces and Anomalies
Speakers
Details
We will introduce basic notions of quantum mechanics, mostly employed in condensed matter physics, such as a separable Hilbert space, Bloch's theorem and Fermi surfaces. Then we will describe the problem of stability of Fermi surfaces and relate it to the mathematical concepts of Fredholm operators and homotopy classes. Equipped with these concepts we show that our proposed scheme yields a classification of topologically stable Fermi surfaces by K-1(X), where X is the Brillouin zone and K-1 is a well known functor in K-theory. We will show an explicit example when X = S1, known as the spectral flow and its relation to quantum anomalies. This is work in progress joint with Alejandro Adem and Gordon W. Semenoff.
Additional Information
Location: ESB 4133
Daniel Sheinbaum, University of British Columbia
Daniel Sheinbaum, University of British Columbia
This is a Past Event
Event Type
Scientific, Seminar
Date
February 24, 2016
Time
-
Location