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$T$-structures from categorical actions

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Authors : Koppensteiner, Clemens (Author of the conference)
CIRM (Publisher )

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Abstract : $T$-structures on derived categories of coherent sheaves are an important tool to encode both representation-theoretic and geometric information. Unfortunately there are only a limited amount of tools available for the constructions of such $t$-structures. We show how certain geometric/categorical quantum affine algebra actions naturally induce $t$-structures on the categories underlying the action. In particular we recover the categories of exotic sheaves of Bezrukavnikov and Mirkovic.
This is joint work with Sabin Cautis.

MSC Codes :
14F05 - Sheaves, derived categories of sheaves and related constructions
16E35 - Derived categories in associative algebra

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 18/04/2019
    Conference Date : 01/04/2019
    Subseries : Research talks
    arXiv category : Algebraic Geometry
    Mathematical Area(s) : Algebraic & Complex Geometry ; Algebra
    Format : MP4 (.mp4) - HD
    Video Time : 00:58:38
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2019-04-01_Kopensteiner.mp4

Information on the Event

Event Title : Symplectic representation theory / Théorie symplectique des représentations
Event Organizers : Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng
Dates : 01/04/2019 - 05/04/2019
Event Year : 2019
Event URL : https://conferences.cirm-math.fr/1956.html

Citation Data

DOI : 10.24350/CIRM.V.19510903
Cite this video as: Koppensteiner, Clemens (2019). $T$-structures from categorical actions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19510903
URI : http://dx.doi.org/10.24350/CIRM.V.19510903

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