# Integers in many-body quantum physics

Date: Fri, Sep 28, 2018

Location: PIMS, University of British Columbia

Conference: UBC Math Department Colloquium

Subject: Mathematics, Quantum Physics, Physics

Class: Scientific

### Abstract:

Although integers are ubiquitous in quantum physics, they have different mathematical origins. In this colloquium, I will give a glimpse of how integers arise as either topological invariants or as analytic indices, as is the case in the so-called quantum Hall effect. I will explain the difficulties arising in extending well-known arguments when one relaxes the approximation that the particles effectively do not interact with each other in matter. Recent advances have made such realistic generalizations possible.