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SUMMARY:Gaëtan Borot (Humboldt-Universität zu Berlin)
DTSTART:20211126T170000Z
DTEND:20211126T180000Z
DTSTAMP:20260423T021708Z
UID:SemACT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SemACT/19/">
 Airy structures: from algebra to geometry via representation theory</a>\nb
 y Gaëtan Borot (Humboldt-Universität zu Berlin) as part of Seminario de 
 álgebra\, combinatoria y teoría de Lie\n\n\nAbstract\nAiry structures  (
 introduced by Kontsevich and Soibelman) are systems of\ncompatible PDEs ad
 mitting a unique (when suitably normalized) solution.\nThis solution can b
 e reconstructed by a topological recursion\, i.e. a\nrecursion that mimic 
 cut-and-paste relations in the geometry of\nsurfaces. There are in fact ma
 ny examples of Airy structures where the\nsolution encode enumeration of s
 urfaces. Airy structure can be notably\nfound from free field representati
 ons of certain vertex operator\nalgebras\, in particular from W-algebras. 
 It can also be used to\nconstruct Whittaker vectors that are of interest i
 n supersymmetric gauge\ntheories. The talk will be an introduction to alge
 braic aspects of Airy\nstructures\, placed in the context of applications 
 to geometry.\n\nThis is based on joint works with Andersen\, Chekhov\, Ora
 ntin\, Bouchard\,\nCreutzig\, Chidambaram\, Noschenko\, Kramer\, Schüler.
 \n
LOCATION:https://researchseminars.org/talk/SemACT/19/
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