Title	Essential dimension of stacks of bundles
Creator	Dhillon, Ajneet
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-11T10:30
Description	The talk will start by recalling essential dimension and looking at some elementary examples. For certain kinds of Deligne-Mumford stacks, P. Brosnan Z. Reichstein and A. Vistoli have proved a very powerful genericity theorem which reduces the calculation of essential dimension to that of gerbes. For Gm-gerbes there is a conjectural formula of J.L Colliot-Thelene, N. Karpenko and A. Merkurjev for the essential dimension of a gerbe that relates the essential dimension to Brauer invariants such as the index. In joint work with I. Biswas and N. Hoffmann, modulo this conjecture, the essential dimension of the moduli stack of vector bundles on a smooth projective curve was computed. Recently these results were extended to orbifold curves with D. Valluri.
Extent	58.0 minutes
Subject	Mathematics; Algebraic geometry; Associative rings and algebras
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Western Ontario
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-10
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390439
URI	http://hdl.handle.net/2429/74388
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Essential dimension of stacks of bundles Dhillon, Ajneet

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