Date: Monday, January 24, 2022
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: The Dual Motivic Witt Cohomology Steenrod Algebra
Abstract: Over a field k, the zeroth homotopy group of the motivic sphere spectrum is given by the GrothendieckWitt ring of symmetric bilinear forms GW(k). The GrothendieckWitt ring GW(k) modulo the hyperbolic plane is isomorphic to the Witt ring of symmetric bilinear forms W(k) which further surjectively maps to Z/2. We may take motivic EilenbergMaclane spectra of Z/2. W(k) and GW(k). Voevodsky has computed the motivic Steenrod algebra of HZ/2 and solved the BlochKato conjecture with its help. We go one step further and study the motivic EilenbergMaclane spectrum corresponding to the Witt ring and compute its dual Steenrod algebra.
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Speaker: Viktor Burghardt
Institution: Northwestern University
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