Mathematics Dept.
  Events
UCLA
Fri 14 Sep 2018, 3:00pm
Department Colloquium
ESB 2012
TBA
ESB 2012
Fri 14 Sep 2018, 3:00pm-4:00pm

Abstract

 

Note for Attendees

Refreshments will be served in ESB 4133 from 2:45 p.m.-3:00 p.m.
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UBC Math
Fri 28 Sep 2018, 3:00pm
Department Colloquium
ESB 2012
Integers in many-body quantum physics
ESB 2012
Fri 28 Sep 2018, 3:00pm-4:00pm

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.
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