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SUMMARY:Dynamics and DT invariants - Fabian Haiden (University of Southern
  Denmark)
DTSTART:20240619T103000Z
DTEND:20240619T113000Z
UID:TALK217681@talks.cam.ac.uk
DESCRIPTION:An intensely studied problem in dynamical systems is to count 
 the saddle connections and closed cylinders of a quadratic differential on
  a Riemann surface. I will explain how this problem can be seen as a parti
 cular example of the general problem of counting stable objects in 3-d Cal
 abi--Yau categories using Donaldson-Thomas theory a la Kontsevich-Soiblema
 n. As a consequence\, these counts satisfy the wall-crossing formula which
  relates the DT invariants at different points in the space of stability c
 onditions. The relevant 3CY category is a Fukaya-type category and conject
 urally mirror to a certain category of coherent sheaves on an open 3CY var
 iety. Based on arXiv:2104.06018.
LOCATION:Seminar Room 1\, Newton Institute
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