|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.
Speaker: Nate Harman