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SUMMARY:Raquel Coelho Guardado Simoes (Lancaster University)
DTSTART:20220517T140000Z
DTEND:20220517T150000Z
DTSTAMP:20260423T005730Z
UID:TRAC/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TRAC/44/">Fr
 om gentle to string algebras: a geometric model</a>\nby Raquel Coelho Guar
 dado Simoes (Lancaster University) as part of The TRAC Seminar - Théorie 
 de Représentations et ses Applications et Connections\n\n\nAbstract\nGeom
 etric models associated to triangulations of Riemann surfaces arose in the
  context of cluster algebras and have since been used as an important tool
  to study representation theory of algebras and provide connections with a
 lgebraic geometry and symplectic geometry.\n\nSignificant applications of 
 geometric models include a description of extensions and a classification 
 of support tau-tilting modules over gentle algebras. Gentle algebras are a
  particular subclass of string algebras\, which are of tame representation
  type\, meaning it is often possible to get a global understanding of thei
 r representation theory.\n\nIn this talk I will describe the module catego
 ry of a gentle algebra via partial triangulations of unpunctured surfaces\
 , explain how to extend this model to a geometric model of the module cate
 gory of any string algebra and use this model to obtain a classification o
 f support tau-tilting modules. This is based on joint work in progress wit
 h Karin Baur.\n
LOCATION:https://researchseminars.org/talk/TRAC/44/
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