# Bounds on the torsion in the K-theory of algebraic integers

Presented by:
C Soule IHES
Date:
Monday 30th September 2002 - 14:00 to 15:00
Venue:
INI Seminar Room 1
Session Title:
K-theory and arithmetic
Abstract:
Given a natural integer $m$ and a number field $F$ we find an upper bound for the cardinality of the torsion in $K_{m}(A)$, where $A$ is the ring of integers of $F$. The bound depends on $m$, the absolute degree of $F$ and its absolute discriminant. This bound seems much too big but it is explicit.