PIRSA:17110064

Modular Koszul duality for Kac–Moody groups

Makisumi, S. (2017). Modular Koszul duality for Kac–Moody groups. Perimeter Institute. https://pirsa.org/17110064

Makisumi, Shotaro. Modular Koszul duality for Kac–Moody groups. Perimeter Institute, Nov. 27, 2017, https://pirsa.org/17110064 

          @misc{ pirsa_PIRSA:17110064,
            doi = {10.48660/17110064},
            url = {https://pirsa.org/17110064},
            author = {Makisumi, Shotaro},
            keywords = {Mathematical physics},
            language = {en},
            title = {Modular Koszul duality for Kac{\textendash}Moody groups},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {nov},
            note = {PIRSA:17110064 see, \url{https://pirsa.org}}
          }

Shotaro Makisumi

Columbia University

Talk number
PIRSA:17110064
Collection
Talk Type
Subject
Abstract

The Hecke category is a certain monoidal category of constructible sheaves on a flag variety that categorifies the Hecke algebra and plays an important role in geometric representation theory. In this talk, I will discuss a monoidal Koszul duality relating the Hecke category of Langlands-dual (Kac–Moody) flag varieties, categorifying a certain involution of the Hecke algebra. In particular, I will try to explain why one needs to introduce a monoidal category of "free-monodromic tilting sheaves" to formulate this duality. (Joint with P.N. Achar, S. Riche, and G. Williamson.)