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
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.
