MIT Lie Groups Seminar

Wednesday, October 20, 2021 at 4:00pm to 5:00pm

Virtual Event

Speaker: Yaping Yang - University of Melbourne

Title: Frobenii on Morava E-theoretical quantum groups

Abstract: In this talk, I will explain a connection between stable homotopy theory and representation theory. I will focus on one application of this idea to a problem arising from the modular representation theory. More explicitly, we study a family of new quantum groups labelled by a prime number and a positive integer constructed using the Morava E-theories. Those quantum groups are related to Lusztig's 2015 reformulation of his conjecture from 1979 on character formulas for algebraic groups over a field of positive characteristic. This talk is based on my joint work with Gufang Zhao.

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