78 citations · 347 across the 30 of their papers we have counts for
5 papers · 2 filters
Local Hodge theory of Soergel bimodules
Geordie Williamson
We prove the local hard Lefschetz theorem and local Hodge-Riemann bilinear relations for Soergel bimodules. Using results of Soergel and Kübel one may deduce an algebraic proof of…
A reducible characteristic variety in type A
Geordie Williamson
We show that simple highest weight modules for sl_12 may have reducible characteristic variety. This answers a question of Borho-Brylinski and Joseph from 1984. The relevant singul…
Diagrammatics for Coxeter groups and their braid groups
Ben Elias, Geordie Williamson
We give a monoidal presentation of Coxeter and braid 2-groups, in terms of decorated planar graphs. This presentation extends the Coxeter presentation. We deduce a simple criterion…
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…
Kazhdan-Lusztig conjectures and shadows of Hodge theory
Ben Elias, Geordie Williamson
We give an informal introduction to the authors' work on some conjectures of Kazhdan and Lusztig, building on work of Soergel and de Cataldo-Migliorini. This article is an expanded…