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
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