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C_2 equivariant homotopy groups from real motivic homotopy groups

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HHHW02 - Equivariant and motivic homotopy theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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