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SUMMARY:Fukaya categories of Stein manifolds - Mohammed Abouzaid\, Clay
DTSTART:20120509T150000Z
DTEND:20120509T160000Z
UID:TALK36481@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:According to Eliashberg and Giroux\, the symplectic topology o
 f Stein manifolds can be understood by induction on dimension using Lefsch
 etz fibrations.  I will explain joint work with Seidel which yields a form
 ula for the (wrapped) Fukaya categories of such manifolds along the same s
 cheme.  The end result is that  the Fukaya categories of Stein manifolds a
 re "smooth categories" defined over the integers.  I will review the notio
 n of a smooth category\, which is the setting of non-commutative geometry 
 in the sense of Kontsevich\, and explain how Homological mirror symmetry c
 an be used to relate our formula to ideas in the study of derived categori
 es of coherent sheaves.
LOCATION:MR13
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