Derived Algebraic Geometry And Its Applications - p-adic K-theory and topological cyclic homology
March 26, 2019
Keywords:
- topological cyclic homology
- algebraic K-theory
- prismatic cohomology
MSC:
- 19D55
Abstract
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.