Seminar Event Detail


Group, Lie and Number Theory

Date:  Monday, September 26, 2016
Location:  4088 East Hall (4:10 PM to 5:30 PM)

Title:  Integral and quantum Deligne categories

Abstract:   I will review a construction due to Deligne of certain universal tensor categories over the complex numbers which are closely related to stability phenomena in the representation theory of symmetric and general linear groups. I will then discuss a construction of certain integral forms of these categories, which reduce well modulo primes and give insight into the asymptotic behavior of the modular representation theory of these groups. Finally, I will discuss some ongoing progress toward generalizing these results in the setting of quantum groups and Iwahori-Hecke algebras.

Files:


Speaker:  Nate Harman
Institution:  MIT

Event Organizer:     

 

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