Title	Fukaya categories and gentle algebras II
Creator	Lekili, Yanki
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-30T12:01
Description	I will review the combinatorial description of partially wrapped Fukaya categories of punctured surfaces due to Haiden-Katzarkov-Kontsevich and show how it provides a geometric model for the derived category of any graded gentle algebra. As an application, I will discuss my joint work with A. Polishchuk, which uses the action of the mapping class group to give sufficient numerical criteria for two gentle algebras to be derived equivalent. Time permitting, I will also discuss homological mirror symmetry for punctured surfaces which links this story to another geometric model of gentle algebras related to the derived categories associated to nodal stacky curves.
Extent	48.0
Subject	Mathematics; Algebraic geometry; Associative rings and algebras; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: King's College London
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-04-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378488
URI	http://hdl.handle.net/2429/69974
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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