The Hasse Principle for surfaces and counting

Speaker:

Nick Rome

Affiliation:

Univ. Bristol / MPIM

Date:

Wed, 12/09/2018 - 16:30 - 17:30

Location:

MPIM Lecture Hall [2]

Parent event:

PLeaSANT (Participative learning seminar analytic number theory) [3]

Details:

Program [4] and Abstracts [5] of The Hasse Principle for surfaces and counting

Establishing local-global principles, such as the Hasse principle, is an essential tool for the study of Diophantine equations and studying the
distribution of rational points on surfaces. The family of Chatelet surfaces has long been known to include counterexamples to the Hasse principle.

In this talk, we will investigate the frequency of such counterexamples in a family of surfaces parametrised by points on a quadric.