BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Equivariant Witt vectors, real topological Hochschild homology, and norms Angelini-Knoll, Gabriel


Recent work of Blumberg-Gerhardt-Hill-Lawson defines Witt vectors for Green functors using an algebraic analogue of topological Hochschild homology relative to a finite subgroup of the circle, described in terms of the Hill-Hopkins-Ravenel norm. In my talk, I will make explicit the perspective that real topological Hochschild homology is the norm from the cyclic group of order two to O(2). It is then natural to construct a theory of Witt vectors for Hermitian Mackey functors. I will then illustrate the computability of this theory with examples. This is based on joint work with T. Gerhardt and M. Hill.

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