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SUMMARY:Dogancan Karabas
DTSTART:20211130T150000Z
DTEND:20211130T160000Z
DTSTAMP:20260423T052805Z
UID:Freemath/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/67/
 ">Homotopy colimit formula for gluing wrapped Fukaya categories\, and lens
  spaces</a>\nby Dogancan Karabas as part of Free Mathematics Seminar\n\n\n
 Abstract\nGanatra\, Pardon\, and Shende introduced a way to compute wrappe
 d Fukaya categories of Weinstein domains by taking the homotopy colimit of
  wrapped Fukaya categories of their sectorial coverings. However\, homotop
 y colimits are hard to compute in general. In this talk\, I will describe 
 a practical formula for homotopy colimit when the categories are presented
  as semifree dg categories. As an application\, I will show that the homot
 opy type of lens spaces is detected by the wrapped Fukaya category of thei
 r cotangent bundles. If time permits\, I will talk about other application
 s of the formula\, such as the calculation of the wrapped Fukaya category 
 of plumbing spaces. This is joint work with Sangjin Lee.\n
LOCATION:https://researchseminars.org/talk/Freemath/67/
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