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C_2 equivariant homotopy groups from real motivic homotopy groups

Presented by: 
Mark Behrens University of Chicago
Date: 
Thursday 16th August 2018 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
The Betti realization of a real motivic spectrum is a genuine C_2 spectrum. It is well known (c.f. the work of Dugger-Isaksen) that the homotopy groups of the Betti realization of a complex motivic spectrum can be computed by "inverting tau". I will describe a similar theorem which describes the C_2-equivariant RO(G) graded homotopy groups of the Betti realization of a cellular real motivic spectrum in terms of its bigraded real motivic homotopy groups. This is joint work with Jay Shah.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons