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SUMMARY:Shunsuke Kano (Tohoku University\, Japan)
DTSTART:20211014T110000Z
DTEND:20211014T120000Z
DTSTAMP:20260423T022034Z
UID:LAGOON/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/49/">
 Categorical dynamical systems arising from sign-stable mutation loops</a>\
 nby Shunsuke Kano (Tohoku University\, Japan) as part of Longitudinal Alge
 bra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nA 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 e
 ntropies of categorical dynamical systems obtained by lifting a sign-stabl
 e 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 o
 f surfaces. If time permits\, we will discuss the pseudo-Anosovness of the
  autoequivalences constructed.\n
LOCATION:https://researchseminars.org/talk/LAGOON/49/
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