Title	Serre dimension and stability conditions
Creator	Takahashi, Atsushi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-09-06T10:02
Description	We study the scaling dimension (or the similarity dimension) of the perfect derived category of a smooth compact dg algebra called the Serre dimension. It is expected that the infimum of the Ikeda-Qiuâ s global dimsion function on the space of stability conditions also gives another â goodâ notion of dimension. One of our results is that its infimum is always greater than or equal to the Serre dimension. Motivated by the ADE classification of the 2-dimensional N=2 SCFT with \widehat{c}<1, we also give a characterization of the derived category of Dynkin quivers in terms of the Serre dimension and the global dimension function. This is a joint work in progress with Kohei Kikuta and Genki Ouchi.
Extent	54.0 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Osaka University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-03-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388868
URI	http://hdl.handle.net/2429/73684
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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Serre dimension and stability conditions Takahashi, Atsushi

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