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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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons