Milnor K-theory and zero-cycles over p-adic function fields
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date
Thursday, January 13, 2022 13:00 - 14:00
Speaker
Izquierdo Diego (CMLS, École polytechnique)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact
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 an ongoing work with G. Lucchini Arteche