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SUMMARY:Jongmyeong Kim (IBS Center for Geometry and Physics\, South Korea)
DTSTART:20220623T110000Z
DTEND:20220623T120000Z
DTSTAMP:20260423T022924Z
UID:LAGOON/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/73/">
 Categorical entropy\, (co-)t-structures and ST-triples</a>\nby Jongmyeong 
 Kim (IBS Center for Geometry and Physics\, South Korea) as part of Longitu
 dinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nIn 
 this talk\, we study a dynamical property of an exact endofunctor F of a t
 riangulated category D using the notion of categorical entropy introduced 
 by Dimitrov–Haiden–Katzarkov–Kontsevich. In particular\, we consider
  the following question: Given full triangulated subcategories A and B of 
 D such that F restricts to A and B\, how the categorical entropies of the 
 restricted functors are related? To answer this question\, we will introdu
 ce new entropy-type invariants using bounded (co-)t-structures and see the
 ir basic properties. We then apply these results to answer our question fo
 r the case where our A and B form an ST-triple in which case A has a bound
 ed t-structure and B has a bounded co-t-structure which are\, in some sens
 e\, dual to each other.\n\nMeeting Link\nhttps://uni-koeln.zoom.us/j/91875
 528987?pwd=TjNZV1lNdVJNOWUrR2xNalRuQWk3dz09\n\nMeeting ID: 918 7552 8987\n
 Password: LAGOON2022\n
LOCATION:https://researchseminars.org/talk/LAGOON/73/
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