Title	Tilting bundles, BGG-correspondence, higher preprojective algebras and the Serre functor
Creator	Hille, Lutz
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-09-03T11:37
Description	We report on a work jointly started with Ragnar Buchweitz about the pull back of a tilting bundle T to the total space of the canonical line bundle Y. Let X be an algebraic variety with a tilting bundle T, then we have a criterion when its pull back to Y is also a tilting bundle. This is closely related to my previous work on distinguished tilting sequences and generalizes the results therein. Morover, we can compute the endomorphism ring of the pull back tilting bundle as the higher preprojective algebra. This leads to a geometric construction of those algebras. The construction needs tilting bundles T with endomorphism algebra of global dimension dimX. In this talk we consider several examples for surfaces and compute the possible global dimensions of A.
Extent	46.0 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Münster
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-03-02
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388814
URI	http://hdl.handle.net/2429/73641
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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Tilting bundles, BGG-correspondence, higher preprojective algebras and the Serre functor Hille, Lutz

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