Julien Houriet (EPFL, Lausanne)

will speak on

Hermitian lattices and K-theory of the ring of integers of a number field

Time: 4:00PM
Date: Wed 14th May 2008
Location: Mathematical Sciences Seminar Room [map]

Abstract: Using Voronoi reduction theory for lattices, Christophe Soulé derived
upper bounds for the torsion of the K-theory of the ring of integers
Z. He generalized his method to the ring of integers of any number field
and obtained bounds for their K-groups in terms of degree and absolute
discriminant of the number field. The method consists in using
relationships between K-groups of a ring R and homology of GL(R) on
one side, and reduction theory for hermitian lattices on another side.
We will show how one can use results on ideal lattices to improve
results for hermitian lattices and consequently obtain better bounds
for the torsion of K-groups.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)

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