78 citations · 225 across the 18 of their papers we have counts for
4 papers · 1 filter
Modular Springer correspondence, decomposition matrices and basic sets
Daniel Juteau
The Springer correspondence makes a link between the characters of a Weyl group and the geometry of the nilpotent cone of the corresponding semisimple Lie algebra. In this article,…
Springer basic sets and modular Springer correspondence for classical types
Daniel Juteau, Cédric Lecouvey, Karine Sorlin
We define the notion of basic set data for finite groups (building on the notion of basic set, but including an order on the irreducible characters as part of the structure), and w…
Modular generalized Springer correspondence II: classical groups
Pramod N. Achar, Anthony Henderson, Daniel Juteau +1
We construct a modular generalized Springer correspondence for any classical group, by generalizing to the modular setting various results of Lusztig in the case of characteristic-…
Parity sheaves and tilting modules
Daniel Juteau, Carl Mautner, Geordie Williamson
We show that tilting modules and parity sheaves on the affine Grassmannian are related through the geometric Satake correspondence, when the characteristic is bigger than an explic…