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Pic(E-Z/4) and Tools to Compute It

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HHHW02 - Equivariant and motivic homotopy theory

In this talk, we describe tools to compute the Picard group of the category of E-G-module spectra where E is Morava E-theory at n=p=2 and G is a finite cyclic subgroup of the Morava stabilizer of order 4. We discuss two tools: 1) A group homomorphism from RO(G) to Pic(E-G) and methods for computing it. 2) The Picard Spectral sequence and some of its equivariant properties. This work is joint with Irina Bobkova, Mike Hill and Vesna Stojanoska

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

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