Research-Milnor K-theory and zero-cycles over p-adic function fields

Research

Geometry & Topology Seminar

Milnor K-theory and zero-cycles over p-adic function fields

Speaker: Diego Izquierdo (École Polytechnique)
Time: Oct 19, 2022, 15:30-16:30
Location: Zoom ID: 967 248 8008, Passcode: 27182818

Abstract

In 1986, Kato and Kuzumaki introduced a set of conjectures in order to characterize the cohomological dimension of fields in diophantine terms. The conjectures are known to be wrong in full generality, but they provide interesting arithmetical problems over various usual fields in arithmetic geometry. The goal of this talk is to discuss the case of function fields of p-adic curves. This is joint work with G. Lucchini Arteche.