SMS scnews item created by Vinoth Nandakumar at Fri 4 May 2018 1618
Modified: Mon 14 May 2018 1308; Wed 16 May 2018 1555
Expiry: 17 May 2018
Calendar1: 16 May 2018 1400-1600
CalLoc1: Carslaw 535A
CalTitle1: Proving Lusztig’s conjectures using tensor product categorifications (expository)
Higher representation theory seminar (expository): Nandakumar -- Proof of Lusztig’s conjectures I: Uniqueness and existence of tensor product categorifications
The main goal of higher representation theory is to prove (and generalize)
Lusztig’s conjectures, which describe the characters and dimensions of the
simple modules in various settings. Losev-Webster give an approach using
uniqueness and existence theorems for tensor product categorifications.
In this expository talk, we describe their work for the Kazhdan-Lusztig
conjectures, modules over category O in type A.