Department of Mathematics Seminar
Friday, October 29, 2021, 3:15pm, Physics 119
John Berman
Measuring Ramification with Topological Hochschild Homology
Abstract:- 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. [video]
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