Witt vectors with coefficients and characteristic polynomials over non-commutative rings

Abstract: The characteristic polynomial of a matrix with entries in a commutative ring $R$ naturally takes value in the ring of Witt vectors of $R$. In joint work with Krause, Nikolaus and Patchkoria, we extend the classical Witt vectors construction to allow as input pairs of a ring $R$ and a bimodule $M$. I will explain how this construction relates to topological Hochschild homology, the Hill-Hopkins-Ravenel norm, and the characteristic polynomial.

algebraic topology

Audience: researchers in the topic

Online algebraic topology seminar

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