Nick Rome, May 14, 2020

Title: Weak Approximation on Quadric Surface Bundles

Abstract: We investigate the distribution of rational points on certain biprojective varieties arising in recent work of Hassett, Pirutka and Tschinkel. The method involves a combination of tools from algebraic geometry (the fibration method and Brauer--Manin obstruction) and analytic number theory (detecting the solubility of fibres with character sums).

Zoom link (password is the order of the finite simple group A6)

Link to slides

Video of talk