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SUMMARY:Benjamin Dequêne (UQAM)
DTSTART:20220208T150000Z
DTEND:20220208T160000Z
DTSTAMP:20260423T024529Z
UID:TRAC/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TRAC/33/">Jo
 rdan recoverability of some categories of modules over gentle algebras</a>
 \nby Benjamin Dequêne (UQAM) as part of The TRAC Seminar - Théorie de Re
 présentations et ses Applications et Connections\n\n\nAbstract\nGentle al
 gebras form a class of finite dimensional algebras introduced by Assem and
  Skowroński in the 80’s. Indecomposable modules over such an algebra ad
 mit a combinatorial description in terms of strings and bands\, which are 
 walks in the associated gentle quiver (satisfying some further conditions)
 \, thanks to the work of Butler and Ringel. A subcategory C of modules is 
 said to be Jordan recoverable if a module X in C can be recovered from the
  Jordan forms\, at each vertex\, of a generic nilpotent endomorphism. This
  data is encoded by a tuple of integer partitions. \n\nAfter we have intro
 duced some definitions and set the context\, the main aim of the talk is t
 o explain the notion of Jordan recoverability through various examples\, a
 nd to highlight a combinatorial characterization of when that property hol
 ds for some special subcategories of modules. This result is extending the
  work of Garver\, Patrias and Thomas in Dynkin types. If time allows\, we 
 may discuss some open questions related to this result and\, in particular
 \, exhibit new ideas to characterize all the subcategories of modules that
  are Jordan recoverable in the A_n case.\n\nThis is a part of my Ph.D. wor
 k supervised by Hugh Thomas.\n
LOCATION:https://researchseminars.org/talk/TRAC/33/
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