Lecture course "Sieving in algebra and geometry" (3/4)

by Efthymios Sofos (University of Glasgow/MPIM)

Wednesday May 14, 2025, 4:30 PM → 5:15 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

IMPRS minicourse "Sieving in algebra and geometry"

This course explores recent advances in the application of classical methods from analytic number theory—such as Brun’s sieve, the large sieve, and the Hardy–Littlewood circle method—to problems in algebraic number theory and arithmetic geometry.

Emphasis will be placed on the interplay between analytic techniques and geometric structures, with applications including the Cohen–Lenstra heuristics in the statistical study of class groups and the Batyrev–Manin conjecture on the distribution of rational points on Fano varieties. No prior familiarity with sieves will be assumed.