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The Hirzebruch Signature Theorem for Conical Metrics Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory

Authors : Ben Elias, Geordie Williamson

Published in: Arbeitstagung Bonn 2013

Publisher: Springer International Publishing

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Abstract

We give an informal introduction to the authors’ work on some conjectures of Kazhdan and Lusztig, building on work of Soergel and de Cataldo–Migliorini. This article is an expanded version of a lecture given by the second author at the Arbeitstagung in memory of Frederich Hirzebruch.

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Footnotes
1
Due, no doubt, to the influence which their work has had on the authors.
 
2
Although all the R-modules will factor through R∕(R + W ), we prefer the ring R for philosophical reasons. When W is infinite, the ring R∕(R + W ) is infinite dimensional, as R W has the “wrong” transcendence degree, and the Chevalley theorem does not hold. The ring R behaves in a uniform way for all Coxeter groups, while the quotient ring R∕(R + W ) does not.
 
3
W. Soergel pointed out that this is a bad name, as it has nothing whatsoever to do with coinvariants.
 
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Metadata
Title
Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory
Authors
Ben Elias
Geordie Williamson
Copyright Year
2016
Book
Arbeitstagung Bonn 2013

Print ISBN: 978-3-319-43646-3

Electronic ISBN: 978-3-319-43648-7

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-43648-7_5

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