6 papers · 1 filter
Torsion proliferation
Joseph Baine, Daniel Tubbenhauer
This paper considers the generic behaviour of sheaves supported on Schubert varieties in finite flag varieties. Our main results are that, for any fixed prime , as the rank of t…
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…
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…
(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…
Monotonicity of inverse Kazhdan-Lusztig polynomials
Joseph Baine
For arbitrary Coxeter systems, we prove that inverse Kazhdan-Lusztig polynomials satisfy a monotonicity property. This follows from the validity of Soergel's conjecture and the exi…
On the coefficients in the Jones-Wenzl idempotent
J. Baine
By studying a categorification of the antisymmetriser quasi-idempotent in the Hecke algebra, we derive a closed formula for the Jones-Wenzl idempotent in the Temperley-Lieb algebra…