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Kristian Moi: On real THH

Time: Tue 2017-10-03 13.00 - 14.00

Location: Room 3418, Lindstedtsvägen 25, Department of mathematics, KTH

Participating: Kristian Moi, KTH

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ABSTRACT: Topological Hochschild homology (THH) was introduced by Bökstedt in order to make computations of algebraic K-theory of rings and ring spectra. For rings with anti-involution, Hesselholt and Madsen introduced real algebraic K-theory, which combines Hermitian and algebraic K-theory into a single genuine Z/2-equivariant spectrum. I will report on recent joint work with Dotto, Patchkoria and Reeh on real topological Hochschild homology, which is the corresponding equivariant refinement of THH. The talk will focus on basic ideas and computations.