November 15, 2018
3:00PM - 4:00PM
Scott Lab E245
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2018-11-15 16:00:00
2018-11-15 17:00:00
K-Theory and Motivic Homotopy Theory Seminar - Akhil Mathew
Title: p-adic K-theory and topological cyclic homology
Speaker: Akhil Mathew (University of Chicago)
Abstract: The cyclotomic trace from algebraic K-theory to topological cyclic homology (TC) is an important tool in describing the p-adic K-theory of p-adic rings, and has been used in several computations (such as Hesselholt-Madsen’s computation of the K-theory of local fields). TC, while more complicated to define, has somewhat simpler formal properties than K-theory and is as a result often easier to compute. I will describe some new results to the effect that TC is a strong approximation to p-adic K-theory, and some resulting structural consequences for p-adic K-theory. This is joint work with Dustin Clausen and Matthew Morrow.
Scott Lab E245
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2018-11-15 15:00:00
2018-11-15 16:00:00
K-Theory and Motivic Homotopy Theory Seminar - Akhil Mathew
Title: p-adic K-theory and topological cyclic homology
Speaker: Akhil Mathew (University of Chicago)
Abstract: The cyclotomic trace from algebraic K-theory to topological cyclic homology (TC) is an important tool in describing the p-adic K-theory of p-adic rings, and has been used in several computations (such as Hesselholt-Madsen’s computation of the K-theory of local fields). TC, while more complicated to define, has somewhat simpler formal properties than K-theory and is as a result often easier to compute. I will describe some new results to the effect that TC is a strong approximation to p-adic K-theory, and some resulting structural consequences for p-adic K-theory. This is joint work with Dustin Clausen and Matthew Morrow.
Scott Lab E245
Department of Mathematics
math@osu.edu
America/New_York
public
Title: p-adic K-theory and topological cyclic homology
Speaker: Akhil Mathew (University of Chicago)
Abstract: The cyclotomic trace from algebraic K-theory to topological cyclic homology (TC) is an important tool in describing the p-adic K-theory of p-adic rings, and has been used in several computations (such as Hesselholt-Madsen’s computation of the K-theory of local fields). TC, while more complicated to define, has somewhat simpler formal properties than K-theory and is as a result often easier to compute. I will describe some new results to the effect that TC is a strong approximation to p-adic K-theory, and some resulting structural consequences for p-adic K-theory. This is joint work with Dustin Clausen and Matthew Morrow.
