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

Presented by: 
Agnes Beaudry University of Colorado
Date: 
Monday 13th August 2018 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
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
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons