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SUMMARY:Amit Shah (Aarhus University)
DTSTART:20220201T150000Z
DTEND:20220201T160000Z
DTSTAMP:20260423T004759Z
UID:TRAC/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TRAC/32/">A 
 characterisation of n-exangulated functors</a>\nby Amit Shah (Aarhus Unive
 rsity) as part of The TRAC Seminar - Théorie de Représentations et ses A
 pplications et Connections\n\n\nAbstract\nExamples of structure-preserving
  functors between extriangulated categories\, so-called extriangulated fun
 ctors\, include the canonical functor from an abelian category to its deri
 ved category\, and the quotient functor from a Frobenius exact category to
  its stable category. The first\, for example\, is structure-preserving in
  the sense that short exact sequences are sent to distinguished triangles 
 in a functorial way. In higher homological algebra\, we also see examples 
 of structure-preserving functors\, but not covered by the current terminol
 ogy. E.g. n-cluster tilting subcategories sitting inside an ambient abelia
 n category. In an attempt\, with R. Bennett-Tennenhaus\, J. Haugland and M
 . H. Sandøy\, to place these kinds of more general situations in a formal
  framework\, we have been led to a new perspective on extriangulated (or\,
  more generally\, n-exangulated) functors. The aim of my talk is to explai
 n this.\n
LOCATION:https://researchseminars.org/talk/TRAC/32/
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