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SUMMARY:Alexandra Zvonareva (University of Stuttgart\, Germany)
DTSTART:20210311T120000Z
DTEND:20210311T130000Z
DTSTAMP:20260423T023056Z
UID:LAGOON/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/35/">
 Derived equivalence classification of Brauer graph algebras</a>\nby Alexan
 dra Zvonareva (University of Stuttgart\, Germany) as part of Longitudinal 
 Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nIn this t
 alk\, I will explain the classification of Brauer graph algebras up to der
 ived equivalence. These algebras first appeared in representation theory o
 f finite groups and can be defined for any suitably decorated graph on an 
 oriented surface. The classification relies on the connection between Brau
 er graph algebras and gentle algebras and the classification of the mappin
 g class group orbits of the homotopy classes of line fields on surfaces. W
 e consider A-infinity trivial extensions of partially wrapped Fukaya categ
 ories associated to surfaces with boundary\, this construction naturally e
 nlarges the class of Brauer graph algebras and provides a way to construct
  derived equivalences. This is based on joint work with Sebastian Opper.\n
LOCATION:https://researchseminars.org/talk/LAGOON/35/
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