Jordan Ellenberg : Counting some points on some stacks in some way

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

April 19, 2021, 3 p.m.

In

Zoom

Abstract

I will talk about a program, joint with Matt Satriano and David Zureick-Brown, for formulating a notion of height for points on stacks over global fields, which opens up many new questions about arithmetic distribution of rational points on stacks; in particular, we’ll talk about a common generalization of the Malle conjecture for counting number fields and the Batyrev-Manin conjecture for counting rational points on Fano varieties and describe what is known about it so far.