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Motivic Ctau-modules and Stable Homotopy Groups of Spheres

Presented by: 
Zhouli Xu Massachusetts Institute of Technology
Date: 
Friday 28th September 2018 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
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 spectral sequence for Ctau is isomorphic to the algebraic Novikov spectral sequence. This isomorphism of spectral sequences allows computations of classical stable stems at least to the 90-stem, with ongoing computations into even higher dimensions. I will also discuss the situation in the real motivic world, and some connections to the new Doomsday Conjecture, if time permits. This is joint work with Mark Behrens, Bogdan Gheorghe, Dan Isaksen and Guozhen Wang.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons