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SUMMARY:Lucy Yang (Columbia University\, New York\, USA)
DTSTART:20240131T130000Z
DTEND:20240131T140000Z
DTSTAMP:20260423T005755Z
UID:LAGOON/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/90/">
 Categorical dynamics on stable module categories</a>\nby Lucy Yang (Columb
 ia University\, New York\, USA) as part of Longitudinal Algebra and Geomet
 ry Open ONline Seminar (LAGOON)\n\n\nAbstract\nGiven a mathematical object
  X and an endomorphism f of X\, entropy assigns to this pair a number h(f)
  measuring the dynamical complexity of f. Initially defined for measure sp
 aces and topological spaces\, it has also been generalized by Dimitrov--Ha
 iden--Katzarkov--Kontsevich to measure the complexity of endomorphisms of 
 stable ∞-categories. I will discuss a result showing that the categorica
 l polynomial entropy of a twist functor on stable module categories of cer
 tain algebras A of cohomology operations over a field k reflects the compl
 exity of A: it is at least one less than the Krull dimension of H*(A\;k)\,
  generalizing results of Fan--Fu--Ouchi.  We will then discuss work in pro
 gress to bring this dynamicalperspective to homotopy theory.\n\nhttps://un
 i-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVRzREhoRE1PUT09\n\nMeet
 ing ID: 918 7552 8987 Password: LAGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/90/
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