K-theory of fields and curves



Title:  K-theory of fields and curves

Speaker:  Professor Rob de Jeu (Vrije Universiteit)

Date:  Monday, 23rd November 2015

Time:  4pm

Location:  Agriculture. 1.01 (Seminar Room).

 

Abstract:

For a number field k, there is a classical relation between the residue at s=1 of its zeta-function, and the regulator of the unit group of its ring of integers.  After the definition of algebraic K-groups in the seventies, this result could be reinterpreted, and Borel extended it to similar relations between the regulators of the higher, odd K-groups of k, and the value of its zeta-function at 2,3,... .  We discuss this, generalisations of this to curves, and some more explicit constructions of elements in K-groups for fields and/or curves.

Series: Algebra and Number Theory