Categorical entropy, (co-)t-structures and ST-triples

Abstract: In this talk, we study a dynamical property of an exact endofunctor F of a triangulated 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 introduce new entropy-type invariants using bounded (co-)t-structures and see their basic properties. We then apply these results to answer our question for the case where our A and B form an ST-triple in which case A has a bounded t-structure and B has a bounded co-t-structure which are, in some sense, dual to each other.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: Meeting Link uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJNOWUrR2xNalRuQWk3dz09

Meeting ID: 918 7552 8987 Password: LAGOON2022

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

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