78 citations · 347 across the 30 of their papers we have counts for
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On an analogue of the James conjecture
Geordie Williamson
We give a counterexample to the most optimistic analogue (due to Kleshchev and Ram) of the James conjecture for Khovanov-Lauda-Rouquier algebras associated to simply-laced Dynkin d…
The Hodge theory of Soergel bimodules
Ben Elias, Geordie Williamson
We prove Soergel's conjecture on the characters of indecomposable Soergel bimodules. We deduce that Kazhdan-Lusztig polynomials have positive coefficients for arbitrary Coxeter sys…
Characteristic cycles and decomposition numbers
Kari Vilonen, Geordie Williamson
We observe that the characteristic cycle of a D-module gives bounds for decomposition numbers of intersection cohomology complexes.
Standard objects in 2-braid groups
Nicolas Libedinsky, Geordie Williamson
For any Coxeter system we establish the existence (conjectured by Rouquier) of analogues of standard and costandard objects in 2-braid groups. This generalizes a known extension va…
Kumar's criterion modulo p
Daniel Juteau, Geordie Williamson
We prove that equivariant multiplicities may be used to determine whether attractive fixed points on T-varieties are p-smooth. This gives a combinatorial criterion for the determin…