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SUMMARY:Motivic Ctau-modules and Stable Homotopy Groups of Spheres - Zhoul
 i Xu (Massachusetts Institute of Technology)
DTSTART:20180928T090000Z
DTEND:20180928T100000Z
UID:TALK110476@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will discuss the equivalence of stable infinity categories\,
  between the motivic Ctau-modules over the complex numbers and the derived
  category of BP_*BP-comodules. As a consequence\, the motivic Adams spectr
 al sequence for Ctau is isomorphic to the algebraic Novikov spectral seque
 nce. This isomorphism of spectral sequences allows computations of classic
 al stable stems at least to the 90-stem\, with ongoing computations into e
 ven higher dimensions. I will also discuss the situation in the real motiv
 ic world\, and some connections to the new Doomsday Conjecture\, if time p
 ermits. This is joint work with Mark Behrens\, Bogdan Gheorghe\, Dan Isaks
 en and Guozhen Wang.
LOCATION:Seminar Room 1\, Newton Institute
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