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BEGIN:VEVENT
DTSTAMP:20260227T095956Z
DTSTART:20260303T140000Z
DTEND:20260303T150000Z
SUMMARY:Heilbronn Algebra Seminar - Amit Shah
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}c1fh-mkgskg
 d6-70gvh9
DESCRIPTION:Title: Infinite discrete cluster categories and the index\n\n
 Abstract: The “cluster category” is a categorification of the cluster al
 gebra\, which has opened the door to a vast and growing branch of the th
 eory of cluster algebras. To de-categorify\, one uses so-called “cluster
  characters” and the “index” is a tool that helps in constructing such c
 haracters. In type A\, the cluster category has a very nice geometric mo
 del. These models were pushed to the infinite by Igusa–Todorov (2015) wh
 en they introduced their discrete cluster categories\, and these were mo
 re recently “completed” by Paquette–Yildirim (2021). In this talk\, I’ll
  show how extriangulated categories (a relatively new axiomatised struct
 ure) can be used to push the index to the infinite\, which we hope will 
 help to define corresponding cluster algebras and characters.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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