## Oliver Club

Akhil MathewUniversity of Chicago
$p$-adic algebraic K-theory and topological cyclic homology
Thursday, February 8, 2018 - 4:00pm
Malott 532

Algebraic K-theory is a basic invariant of rings connected to deep phenomena in arithmetic, geometry, and topology. When one works with the $p$-adic K-theory of $p$-adic rings, the theory of trace maps and the apparatus of topological cyclic homology (TC) is often a highly effective approximation used in many computations. The theory TC, while more conceptually involved than K-theory, is often easier to work with. In this talk, I will give a gentle introduction to both algebraic K-theory and TC and explain their applications to some new structural results in K-theory.

Refreshments will be served at 3:30 PM.