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Counting stuff with quantum Airy structures (Vincent Bouchard, University of Alberta)

November 12 @ 12:15 pm - 1:10 pm

Mathematicians like to count things. Often in very complicated and fancy ways. In this talk I will explain how we can use quantum Airy structures — an abstract formalism recently proposed by Kontsevich and Soibelman, underlying the Eynard-Orantin topological recursion — to count various interesting geometric structures. Quantum Airy structures can be seen as a wide generalization of the famous Witten conjecture, connecting enumerative geometry, integrable systems, representation theory and mathematical physics. It is a great example of “physical mathematics” in action, with dualities in string theory and quantum field theory giving rise to fascinating, unexpected results in pure mathematics.

Details

Date:
November 12
Time:
12:15 pm - 1:10 pm
Event Category:

Other

Speaker Name
Vincent Bouchard (University of Alberta)

Venue

Emmy Noether Room, Millikan 1021, Pomona College
610 N. College Ave.
Claremont, California 91711
+ Google Map

Details

Date:
November 12
Time:
12:15 pm - 1:10 pm
Event Category:

Other

Speaker Name
Vincent Bouchard (University of Alberta)

Venue

Emmy Noether Room, Millikan 1021, Pomona College
610 N. College Ave.
Claremont, California 91711
+ Google Map