Kevin Hutchinson (UCD)

will speak on

Galois groups, cup products and K-theory

Time: 4:00PM
Date: Wed 4th October 2006
Location: Mathematical Sciences Seminar Room [map]

Further information

Abstract: A much-studied paper of Sharifi and McCallum in 2003 relates
the structure of the Galois group of the maximal p-ramified (p prime)
extension of a number field to a cup product in cohomology and, via
this, to K-theory and Iwasawa theory. We will give a survey of these
ideas and will provide a particularly simple K-theoretic
interpretation of part of the cup product which extends some
results of Sharifi and McCallum and gives information about the Galois
groups of certain number fields.

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

PDF notice

Return to all seminars