Periods in Physics, Number Theory and Algebraic Geometry

Date: April 22 - 26, 2024
Venue: HIM, Poppelsdorfer Allee 45, Bonn
Organizers: Spencer Bloch (Chicago), Herbert Gangl (Durham), Vasily Golyshev (Trieste), Fernando Rodriguez Villegas (Trieste), Don Zagier (Bonn)

This meeting is a follow-up workshop to the trimester program "Periods in Number Theory, Algebraic Geometry and Physics" (Jan 3 - Apr 20, 2018).

Abstract:

The word "period" is used to designate any number represented by the integral of an algebraic differential form over a cycle in an algebraic variety over the rationals (or the algebraic numbers). These include many numbers of interest in number theory and mathematical physics (multiple zeta values, Mahler measures, superstring amplitudes, ...), and also have deep connections with special values of motivic L-functions.

The trimester covered five topics in depth:

• Motives 
• Regulators
• Amplitudes
• Picard-Fuchs Equations 
• Hypergeometric Motives

The aim of this workshop is to “take stock” of — and to report on — recent developments in this area, since the original activity.