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SUMMARY:Riccardo Pedrotti
DTSTART:20220517T140000Z
DTEND:20220517T150000Z
DTSTAMP:20260423T021300Z
UID:Freemath/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/80/
 ">Fixed point Floer cohomology of a Dehn twist in a monotone setting and i
 n more general contexts</a>\nby Riccardo Pedrotti as part of Free Mathemat
 ics Seminar\n\n\nAbstract\nIn this talk we will talk about the fixed point
  Floer cohomology of a Dehn twist. Nowadays there are several methods to c
 ompute it\, for example by using the Seidel exact triangle. Inspired by an
  early result of P. Seidel (1996) for twists on surfaces\, we gave an expl
 icit description of the Floer cohomology of a Dehn twist in terms of Morse
  cohomology of some “sub-quotients” of M. The main step will be to use
  a neck-stretching argument to establish some energy lower bounds on certa
 in trajectories realising differentials. We will start by studying the rat
 her restricting yet convenient “strongly - monotone” case and then sho
 w how to generalise it to more general settings using an energy filtration
  argument due to K. Ono. Time permitting\, we will sketch an application o
 f our techniques in the context of ongoing joint work with T. Perutz\n
LOCATION:https://researchseminars.org/talk/Freemath/80/
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