Back to Commutative Algebra Seminar: Spring 2018
Commutative Algebra Seminar
Date: Friday, Feb 16, 2018
Time: 2:30PM - 3:20PM
Location: LCB 222
Akhil Mathew
University of Chicago
Title |
Rigidity in algebraic K-theory and topological cyclic homology |
Abstract |
The Gabber-Gillet-Suslin-Thomason rigidity theorem states that for a henselian pair (R, I) with p invertible on R, the mod p algebraic K-theory of R and R/I agree. We prove a generalization of this result for arbitrary henselian pairs, where the difference is measured by topological cyclic homology; when I is nilpotent this is due to Dundas-McCarthy. We recover several computations in p-adic algebraic K-theory and obtain some new structural results, e.g., on continuity in K-theory. This is joint work with Dustin Clausen and Matthew Morrow. |
Commutative Algebra