94 citations · 407 across the 32 of their papers we have counts for
5 papers · 1 filter
The Kazhdan-Lusztig polynomial of a matroid
Ben Elias, Nicholas Proudfoot, Max Wakefield
We associate to every matroid M a polynomial with integer coefficients, which we call the Kazhdan-Lusztig polynomial of M, in analogy with Kazhdan-Lusztig polynomials in representa…
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…
Quantum Satake in type A: part I
Ben Elias
We give an interpretation of sl_n webs as morphisms between certain singular Soergel bimodules. We explain how this is a combinatorial, algebraic version of the geometric Satake eq…
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…
Soergel bimodules for universal Coxeter groups
Ben Elias, Nicolas Libedinsky
We produce an explicit recursive formula which computes the idempotent projecting to any indecomposable Soergel bimodule for a universal Coxeter system. This gives the exact set of…