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SUMMARY:Jeremy Brightbill (UC Santa Barbara\, USA)
DTSTART:20211209T160000Z
DTEND:20211209T170000Z
DTSTAMP:20260423T022931Z
UID:LAGOON/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/56/">
 Higher simple-minded systems in negative Calabi-Yau categories.</a>\nby Je
 remy Brightbill (UC Santa Barbara\, USA) as part of Longitudinal Algebra a
 nd Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nHigher simple-mind
 ed systems are collections of objects in a negative Calabi-Yau category wh
 ose behavior mimics that of simple modules.  Under certain hypotheses the 
 collection of all simple-minded systems admits a theory of mutations.  In 
 this talk\, we shall discuss how to construct many examples of negative Ca
 labi-Yau categories using the so-called "dg-stable category". For a concre
 te example\, we consider the dg-stable category of a negatively-graded Bra
 uer tree algebra.  Using a combinatorial model\, we classify the simple-mi
 nded systems of this category and describe its mutation theory.\n
LOCATION:https://researchseminars.org/talk/LAGOON/56/
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