Resumen de 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 systems. Using results of Soergel one may deduce an algebraic proof of the Kazhdan-Lusztig conjecture