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SUMMARY:Prospects for Floer homotopy theory - Mohammed Abouzaid\, Columbia
DTSTART:20170201T160000Z
DTEND:20170201T170000Z
UID:TALK67740@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:The last twenty years have seen tremendous developments in sym
 plectic and contact topology\, both in the development of Floer theoretic 
 invariants (pseudo-holomorphic curve) that establish rigidity phenomena\, 
 and in a new wave of h-principles that achieve long-sought flexible constr
 uctions. This has led Eliashberg to advocate that it should be possible to
  implement any construction not forbidden by Floer theory\, further stress
 ing the problem of understanding what invariant information can be extract
 ed from the moduli spaces of holomorphic curves. In this lecture\, I will 
 begin by giving an introduction to Floer theory and its applications in sy
 mplectic topology\, before sketching a conjectural picture\, developed joi
 ntly with Blumberg and Kragh\, for a homotopical refinement which extends 
 the original ideas of Cohen\, Jones\, and Segal.
LOCATION:MR13
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