Algebraic representations and constructible sheaves
Representation Theory
2016-10-21 v1
Abstract
These are notes for my Takagi lecture at the University of Tokyo in November, 2016. I survey what is known about simple modules for reductive algebraic groups. The emphasis is on characteristic p>0 and Lusztig's character formula. I explain ideas connecting representations and constructible sheaves (Finkelberg-Mirkovic conjecture) in the spirit of the Kazhdan-Lusztig conjecture. I also discuss a conjecture with S. Riche (a theorem for GL_n) which should eventually make computations more feasible.
Cite
@article{arxiv.1610.06261,
title = {Algebraic representations and constructible sheaves},
author = {Geordie Williamson},
journal= {arXiv preprint arXiv:1610.06261},
year = {2016}
}
Comments
Takagi lecture, November 2016. Preliminary version, comments welcome