Categorical dynamical systems arising from sign-stable mutation loops

Abstract: A pair formed by a triangulated category and an autoequivalence is called a categorical dynamical system. Its complexity is measured by the so-called categorical entropy. In this talk, I will present a computation of the categorical entropies of categorical dynamical systems obtained by lifting a sign-stable mutation loop of a quiver to an autoequivalence of the derived category of the corresponding Ginzburg dg algebra. The notion of sign-stability is introduced as ananalogy of the pseudo-Anosov property of mapping classes of surfaces. If time permits, we will discuss the pseudo-Anosovness of the autoequivalences constructed.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

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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.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

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