BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Generalized homology and symplectic cohomology  - Baris Kartal (Ed
 inburgh)
DTSTART:20240501T150000Z
DTEND:20240501T160000Z
UID:TALK215392@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Symplectic cohomology is a powerful invariant associated to (e
 xact) symplectic manifolds\, and it is useful in dynamics\, mirror symmetr
 y\, and so on. Unfortunately\, it is not very sensitive to the homotopy ty
 pe of the underlying manifold: it can vanish for symplectic manifolds with
  arbitrarily complicated topology. It is known that\, if one remembers cer
 tain structures on it\, one can at least recover the rational homology of 
 the manifold\; however\, the torsion information is lost. In this talk\, w
 e show how to recover further information about the homotopy type of the u
 nderlying symplectic manifold\, including torsion part of its homology\, c
 omplex K-theory and Morava K-theory from enhanced versions of symplectic c
 ohomology and the structures on it\, via a modified Tate construction. Thi
 s is joint work with Laurent Cote.
LOCATION:MR13
END:VEVENT
END:VCALENDAR