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# John Berman : Measuring Ramification with Topological Hochschild Homology

Topological Hochschild homology (THH) has recently been popular as an approximation to algebraic K-theory, but it is also a measure of ramification in the sense of number theory. I will survey the interaction between THH and number theory, along with some surprising connections to classical algebraic topology. This will culminate in a new computation of THH of any ring of integers R, suggesting the philosophy: Spec(R) -> Spec(Z) is one point away from being etale.

**Category**: Class Department of Mathematic**Duration**: 01:34:42**Date**: October 29, 2021 at 3:10 PM-
**Tags:**seminar

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