Venue: Chandrasekhar Hall
Title: Soergel bimodules and Kazhdan-Lusztig theory
By:
Ben Elias
From: MIT
Abstract: Recently, Geordie Williamson and I proved Soergel's conjecture, which is the
generalization to arbitrary Coxeter systems of the Kazhdan-Lusztig conjecture, thus realizing Soergel's dream. Our proof was an
algebraic adaptation of de Cataldo and Migliorini's Hodge-theoretic proof of the Decomposition Theorem in geometry. Our goal in
this lecture series is to provide a thorough introduction to Hecke algebras, Soergel bimodules, and the Hodge-theoretic techniques
which went into the proof of the Soergel conjecture. We will also introduce the diagrammatic tools which are used to study Soergel
bimodules.
For more details, see
www.imsc.res.in/~knr/elias/