p-adic K-theory and topological cyclic homology
Akhil Mathew (University of Chicago)
MSRI: Simons Auditorium
I will discuss some recent results on the p-adic algebraic K-theory of p-adic rings, obtained using the cyclotomic trace from K-theory to topological cyclic homology. Parts of this are joint with Bhargav Bhatt, Dustin Clausen, and Matthew Morrow.