Modular Koszul duality for Soergel bimodules

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Abstract/Contents

Abstract
We generalize the modular Koszul duality of Achar-Riche to the setting of Soergel bimodules associated to any finite Coxeter system. In characteristic 0, our result together with Soergel's conjecture (proved by Elias-Williamson) imply that our Soergel-theoretic graded category O is Koszul self-dual, generalizing the result of Beilinson-Ginzburg-Soergel.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2017
Issuance monographic
Language English

Creators/Contributors

Associated with Makisumi, Shotaro
Associated with Stanford University, Department of Mathematics.
Primary advisor Venkatesh, Akshay, 1981-
Primary advisor Yun, Zhiwei, 1982-
Thesis advisor Venkatesh, Akshay, 1981-
Thesis advisor Yun, Zhiwei, 1982-
Thesis advisor Bump, Daniel, 1952-
Advisor Bump, Daniel, 1952-

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Shotaro Makisumi.
Note Submitted to the Department of Mathematics.
Thesis Thesis (Ph.D.)--Stanford University, 2017.
Location electronic resource

Access conditions

Copyright
© 2017 by Shotaro Makisumi
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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