Acta Mathematica

Local Hodge theory of Soergel bimodules

Geordie Williamson

Full-text: Open access

Abstract

We prove the local hard Lefschetz theorem and local Hodge–Riemann bilinear relations for Soergel bimodules. Using results of Soergel and Kübel, one may deduce an algebraic proof of the Jantzen conjectures. We observe that the Jantzen filtration may depend on the choice of non-dominant regular deformation direction.

Dedication

Dedicated to Ben and Yeppie.

Article information

Source
Acta Math., Volume 217, Number 2 (2016), 341-404.

Dates
Received: 29 October 2014
Revised: 5 May 2016
First available in Project Euclid: 17 August 2017

Permanent link to this document
https://projecteuclid.org/euclid.acta/1502989203

Digital Object Identifier
doi:10.1007/s11511-017-0146-8

Mathematical Reviews number (MathSciNet)
MR3689943

Zentralblatt MATH identifier
1380.20006

Rights
2016 © Institut Mittag-Leffler

Citation

Williamson, Geordie. Local Hodge theory of Soergel bimodules. Acta Math. 217 (2016), no. 2, 341--404. doi:10.1007/s11511-017-0146-8. https://projecteuclid.org/euclid.acta/1502989203


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