54 citations · 259 across the 30 of their papers we have counts for
5 papers · 1 filter
La théorie de Hodge des bimodules de Soergel (d'après Soergel et Elias-Williamson)
Simon Riche
Soergel bimodules are certain bimodules over polynomial algebras, associated with Coxeter groups, and introduced by Soergel in the 1990's while studying the category O of complex s…
On the Humphreys conjecture on support varieties of tilting modules
Pramod N. Achar, William Hardesty, Simon Riche
Let be a simply-connected semisimple algebraic group over an algebraically closed field of characteristic , assumed to be larger than the Coxeter number. The "support variet…
Koszul duality for Kac-Moody groups and characters of tilting modules
Pramod Achar, Shotaro Makisumi, Simon Riche +1
We establish a character formula for indecomposable tilting modules for connected reductive groups in characteristic p in terms of p-Kazhdan-Lusztig polynomials, for p>h the Coxete…
Notes on the geometric Satake equivalence
Pierre Baumann, Simon Riche
These notes are devoted to a detailed exposition of the proof of the Geometric Satake Equivalence for general coefficients, following Mirkovic-Vilonen.
Free-monodromic mixed tilting sheaves on flag varieties
Pramod N. Achar, Shotaro Makisumi, Simon Riche +1
In this paper we propose a construction of a monoidal category of "free-monodromic" tilting perverse sheaves on (Kac-Moody) flag varieties in the setting of the "mixed modular deri…