Some questions around counting rational points on stacks

Jordan Ellenberg (University of Wisconsin–Madison)

11-Dec-2020, 15:00-16:00 (5 years ago)

Abstract: I will talk about a few open questions in arithmetic enumeration which are superficially different but which all arise as special cases of a conjecture of Batyrev-Manin type for algebraic stacks formulated by Matt Satriano, David Zureick-Brown, and me. To state the conjecture precisely requires one to say what one means by the height of a point on a stack; some of you have heard me talk about this part before, so I am going to attempt to abbreviate that story somewhat and use it as a black box, focusing instead on some of the geometric challenges of formulating a counting conjecture, which we have sort of but not fully satisfyingly surmounted.

algebraic geometrynumber theory

Audience: researchers in the topic

( slides | video )


ZORP (zoom on rational points)

Series comments: 2 talks on a Friday, roughly once per month.

Online coffee break in between.

Organizers: Margaret Bilu, Kevin Destagnol, Simon Rydin Myerson*, Efthymios Sofos*
*contact for this listing

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