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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Dynamics and DT invariants - Fabian Haiden (Univer
 sity of Southern Denmark)
DTSTART;TZID=Europe/London:20240619T113000
DTEND;TZID=Europe/London:20240619T123000
UID:TALK217681AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/217681
DESCRIPTION:An intensely studied problem in dynamical systems 
 is to count the saddle connections and closed cyli
 nders of a quadratic differential on a Riemann sur
 face. I will explain how this problem can be seen 
 as a particular example of the general problem of 
 counting stable objects in 3-d Calabi--Yau categor
 ies using Donaldson-Thomas theory a la Kontsevich-
 Soibleman. As a consequence\, these counts satisfy
  the wall-crossing formula which relates the DT in
 variants at different points in the space of stabi
 lity conditions. The relevant 3CY category is a Fu
 kaya-type category and conjecturally mirror to a c
 ertain category of coherent sheaves on an open 3CY
  variety. Based on arXiv:2104.06018.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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