2:30 - 4:00 Alexander Nenashev

Simplicial constructions in the K-theory of exact categories

Abstract

We specify simplicial and categorical constructions used to define the K-theory space for a given exact category. Using the G-construction, we deduce a Grothendieck style presentation for K_1 by generators and relations. Invariants of quadratic forms with values in K-groups in the categorical setting will be also discussed, if time remains.