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Analogues of the Hilbert Irreducibility Theorem for integral points on surfaces

Speaker: Simone Coccia

Date: Thu, Mar 14, 2024

Location: PIMS, University of British Columbia, Zoom, Online

Conference: UBC Number Theory Seminar

Subject: Mathematics, Number Theory

Class: Scientific

Abstract:

We will discuss conjectures and results regarding the Hilbert
Property, a generalization of Hilbert's irreducibility theorem to arbitrary
algebraic varieties. In particular, we will explain how to use conic fibrations
to prove the Hilbert Property for the integral points on certain surfaces,
such as affine cubic surfaces.