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Higher representations of $gl(1|1)^+$

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Authors : Rouquier, Raphaël (Author of the conference)
CIRM (Publisher )

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Abstract : Heegaard-Floer theory is a 4-dimensional topological fi theory. It has been partially extended down to dimension 2: Lipshitz-Oszvath-Thurston constructed a differential algebra for a surface equipped with some extra structure. Douglas and Manolescu started building a partial extension down to dimension 1. I will discuss joint work with Andy Manion where we explain a gluing mechanism for surfaces. This is based on the construction of a monoidal 2-category of 2-representations of $gl(1|1)^+$.

MSC Codes :
17B37 - Quantum groups and related deformations
57M27 - Invariants of knots and 3-manifolds
57R58 - Floer homology

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 24/04/2019
    Conference Date : 03/04/2019
    Subseries : Research talks
    arXiv category : Representation Theory ; Quantum Algebra ; Geometric Topology
    Mathematical Area(s) : Algebra ; Algebraic & Complex Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 01:05:54
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2019-04-03_Rouquier.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.19512503
Cite this video as: Rouquier, Raphaël (2019). Higher representations of $gl(1|1)^+$. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19512503
URI : http://dx.doi.org/10.24350/CIRM.V.19512503

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