Title	Ringel duality for Soergel bimodules
Creator	Hazi, Amit
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-12-06T10:31
Description	The category of Soergel bimodules is a well-behaved categorification of the Hecke algebra of a Coxeter group. In many characteristic 0 realizations, the indecomposable objects in this category correspond to the Kazhdan-Lusztig basis, thereby giving an explanation for the positivity of Kazhdan-Lusztig polynomials. In characteristic $p>0$ the indecomposable objects give rise to another set of non-negative Laurent polynomials called $p$-Kazhdan-Lusztig polynomials, which can be used as a replacement for Kazhdan-Lusztig polynomials in modular representation theory. In this talk I will propose a non-negative replacement for inverse Kazhdan-Lusztig polynomials in positive characteristic.
Extent	29.0 minutes
Subject	Mathematics; Nonassociative rings and algebras; Category theory; homological algebra; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of London
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2021-01-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395609
URI	http://hdl.handle.net/2429/77103
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Ringel duality for Soergel bimodules Hazi, Amit

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