Title	Partial orders on the Weyl group, monoids in the braid group, and homological algebra
Creator	Licata, Anthony
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-07-26T14:20
Description	Let W be a finite Weyl group. Associated to W there are two important partial orders - (weak) Bruhat order, and absolute order. These two partial orders are related to a pair of combinatorial lattices, and these lattices are in some (not completely understood) senses "dual" to one another. As a result many other structures related to W come in dual pairs; for example, as we will explain, the braid group of W has a pair of "dual" Garside structures, and a pair of "dual" positive monoids. The goal of this talk will be to explain how these dual structures appear in the higher representation theory of the braid group. (Joint with Hoel Queffelec.)
Extent	51 minutes
Subject	Mathematics; Number theory; Quantum theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Australian National University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340896
URI	http://hdl.handle.net/2429/60407
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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