February 11, 2016
Mathematics Colloquium lecture Feb. 11
Erik Carlsson, Harvard University, will present "A Proof of the Shuffle Conjecture" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Thursday, Feb. 11, in 122 Cardwell Hall.
Recently, Carlsson and Anton Mellit gave a proof of the famous shuffle conjecture of Haglund, Haiman, Loehr, Ulyanov and Remmel, which predicts a combinatorial formula for the character of the diagonal coinvariant algebra, and other quantities coming from algebraic geometry. Carlsson will explain what this conjecture is about, its implications for representation theory and the algebraic structures that go into this recent proof. Hopefully if there's time, Carlsson will explain some of the remarkable unsolved generalizations and their role in algebraic geometry. This should be a very down-to-earth talk suitable for a general audience.