Geodesic
The Hodge theory of Soergel bimodules
Ben Elias1 ; Geordie Williamson2
1 Massachusetts Institute of Technology, Cambridge, MA
2 Max-Planck-Institut für Mathematik, Bonn, Germany
Annals of mathematics, Tome 180 (2014) no. 3, pp. 1089-1136.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2014.180.3.6

Ben Elias 1 ; Geordie Williamson 2

1 Massachusetts Institute of Technology, Cambridge, MA
2 Max-Planck-Institut für Mathematik, Bonn, Germany 
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Ben Elias; Geordie Williamson. The Hodge theory of Soergel bimodules. Annals of mathematics, Tome 180 (2014) no. 3, pp. 1089-1136. doi : 10.4007/annals.2014.180.3.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.3.6/

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