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SUMMARY:Federico Barbacovi
DTSTART:20211207T150000Z
DTEND:20211207T160000Z
DTSTAMP:20260423T021258Z
UID:Freemath/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/68/
 ">Entropy of autoequivalences and holomorphicity</a>\nby Federico Barbacov
 i as part of Free Mathematics Seminar\n\n\nAbstract\nThe notion of entropy
  of an endofunctor categorifies the notion of topological entropy of a con
 tinuous map. However\, while the latter is a number\, the former is a func
 tion of a real variable. The value at zero of this function takes the name
  of categorical entropy and makes the connection between the categorical a
 nd the topological framework. In this talk I will report on joint work wit
 h Jongmyeong Kim in which we give sufficient conditions for a conjecture i
 n categorical dynamics (that mirrors a theorem of Gromov and Yomdin) to be
  satisfied. Of particular interest is the fact that such conditions arise\
 , through the philosophy of homological mirror symmetry\, as a categorific
 ation of one of the properties of holomorphic functions.\n
LOCATION:https://researchseminars.org/talk/Freemath/68/
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