Elden Elmanto | On Bass' NK groups of schemes in mixed characteristics
Channel: EIMI, PDMI RAS and Chebyshev Laboratory
Date: 03/12/2020

Seminar on A1-topology, motives and K-theory, December 3, 2020
Elden Elmanto (Harvard)
On Bass' NK groups of schemes in mixed characteristics

Two obstacles exist when trying to compute K-theory of schemes: lack of A^1-invariance and lack of a Kunneth formula. The overall goal of this project is to describe the K-theory of the affine spaces over a scheme over Z_p in terms of the K-theory of the scheme itself and information controlled by ``Hochschild-type" information. I aim to explain the approach of Cortinas-Haesemeyer-Weibel-Walker in characteristic zero and some progress made in mixed characteristics with Martin Spers.