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p-adic K-theory and topological cyclic homology

Derived algebraic geometry and its applications March 25, 2019 - March 29, 2019

March 27, 2019 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Akhil Mathew (University of Chicago)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • topological cyclic homology

  • algebraic K-theory

  • prismatic cohomology

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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.

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