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SUMMARY:Sira Gratz (University of Glasgow\, UK)
DTSTART:20220224T120000Z
DTEND:20220224T130000Z
DTSTAMP:20260423T040932Z
UID:LAGOON/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/61/">
 When Aisles Meet</a>\nby Sira Gratz (University of Glasgow\, UK) as part o
 f Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbst
 ract\nDiscrete cluster categories of type A are an exciting playing field 
 on which to learn about infinite rank cluster combinatorics: On the one ha
 nd\, they combinatorially behave\, in many ways\, in a familiar finite typ
 e A way. On the other hand\, they exhibit new phenomena for which finite t
 ype A is “too small”. One such phenomenon is the existence of t-struct
 ures. In this talk\, we describe the classification of t-structures in dis
 crete cluster categories of type A via decorated non-crossing partitions a
 nd explain how they form a lattice under inclusion of aisles – an unusua
 l occurrence for t-structures in a triangulated category. This classificat
 ion of t-structures can inform our understanding of posets of t-structures
  more generally and help to tackle completions of triangulated categories 
 from a combinatorial perspective. This talk is based on joint work with Al
 exandra Zvonareva\, and with Thorsten Holm and Peter Jørgensen.\n
LOCATION:https://researchseminars.org/talk/LAGOON/61/
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