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SUMMARY:Mohammed Abouzaid (Columbia)
DTSTART:20200707T140000Z
DTEND:20200707T150000Z
DTSTAMP:20260423T052833Z
UID:Freemath/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/10/
 ">Floer homotopy without spectra</a>\nby Mohammed Abouzaid (Columbia) as p
 art of Free Mathematics Seminar\n\n\nAbstract\nThe construction of Cohen-J
 ones-Segal of Floer homotopy types associated to appropriately oriented fl
 ow categories extracts from the morphisms of such a category the data requ
 ired to assemble an iterated extension of free modules (in an appropriate 
 category of spectra). I will explain a direct (geometric) way for defining
  the Floer homotopy groups which completely bypasses stable homotopy theor
 y. The key point is to work on the geometric topology side of the Pontryag
 in-Thom construction. Time permitting\, I will also explain joint work in 
 progress with Blumberg for building a spectrum from the new point of view\
 , as well as various generalisations which are relevant to Floer theory.\n
LOCATION:https://researchseminars.org/talk/Freemath/10/
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