Title	Desingularising quiver Grassmannians via tilting
Creator	Pressland, Matthew
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-09-02T16:42
Description	Given an A-module M, and a dimension vector d, one can define a quiver Grassmannian, a projective algebraic variety parametrising the d-dimensional A-submodules of M. A famous result in geometric representation theory, obtained by several different authors, states that every projective variety X (over an algebraically closed field of characteristic zero) is isomorphic to such a quiver Grassmannian. In this talk I will explain how, at least in certain cases, one can use this algebraic description to construct a desingularisation of X. The construction is representation-theoretic, involving a tilt of an endomorphism algebra in mod(A), and the desingularising variety is again described in terms of quiver Grassmannians. This talk is based on joint work with Julia Sauter, in which we extend methodology of Crawley-Boevey and Sauter, and of Cerulli Irelli, Feigin and Reineke.
Extent	52.0 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universität Stuttgart
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-03-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388810
URI	http://hdl.handle.net/2429/73637
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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Desingularising quiver Grassmannians via tilting Pressland, Matthew

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