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SUMMARY:The wrapped Fukaya category of a Weinstein manifold is generated b
 y the cocores of the critical handles - Paolo Ghiggini (CNRS (Centre natio
 nal de la recherche scientifique)\; Université de Nantes)
DTSTART:20170309T151500Z
DTEND:20170309T161500Z
UID:TALK71276@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>A Weinstein manifold is an open symplectic manifold admi
 tting a handle decomposition adapted to the symplectic structure. It turns
  out that the handles of such a decomposition have index at most half of t
 he dimension. When the index is half the dimension\, they are called criti
 cal handles and their cocores are Lagrangian discs.<br> <br> In a joint wo
 rk with Baptiste Chantraine\, Georgios Dimitroglou Rizell and Roman Golovk
 o\, we decompose any object in the wrapped Fukaya category of a Weinstein 
 manifold as a twisted complex built from the cocores of the critical handl
 es in a Weinstein handle decomposition. The main tools used are the Floer 
 homology theories of exact Lagrangian immersions\, of exact Lagrangian cob
 ordisms in the SFT sense (i.e. between Legendrians)\, as well as relations
  between these theories.<br> <br> Since most participants of the HTL progr
 am are not experts in Fukaya categories (including me\, actually) I will t
 ry to take it easy.</span><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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