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Back to Departmental Colloquium: Spring 2025

Departmental Colloquium


Date: Thursday, Apr 10, 2025

Time: 4:00PM - 5:00PM

Location: JWB 335


Ben Antieau

Northwestern University

Title

K-groups and machine computation

Abstract

I will describe the results of joint work with Achim Krause and Thomas Nikolaus on a computer algorithm to compute the algebraic K-groups of simple rings like $\mathbb{Z}/4$ or $\mathbb{Z}/9$. No background in algebraic K-theory is assumed. I will then explain how theoretical breakthroughs in p-adic cohomology theories, especially the theory of prismatic cohomology, make our algorithm possible.

Algebraic K-theory

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