3 papers
math.RT2026
The geometry of tilting composition series via Richardson varieties
Joseph Baine, Chris Hone
We prove the (graded) Jordan--Hölder multiplicities of (mixed) tilting sheaves on flag varieties admit a geometric interpretation as the hypercohomology of certain sheaves on Richa…
math.RT2025
A remarkable functor on -modules
Joe Baine, Tasman Fell, Anna Romanov +2
We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sen…
math.RT2024
(Co)Minuscule Hecke categories
Joseph Baine
We determine the p-Kazhdan-Lusztig bases for antispherical (co)minuscule Hecke categories in all characteristics, and for spherical (co)minuscule Hecke categories in good character…