Wednesday, January 29 2014
10:00 - 12:00

Chandrasekhar Hall

Soergel bimodules and Kazhdan-Lusztig theory

Ben Elias


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

Download as iCalendar