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IMPRS lecture course "Sieving in algebra and geometry"

Posted in
Organiser(s): 
Efthymios Sofos
Affiliation: 
University of Glasgow/MPIM
Date: 
Mon, 12/05/2025 - 16:30 - Thu, 15/05/2025 - 17:30
Location: 
MPIM Seminar Room

A course on modern sieve theory:

"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.

MPIM seminar room on:
Monday 12 May, time 16.30-17.30
Tuesday 13 May, time 16.30-17.30
Wednesday 14 May, time 16.30-17.15
Thursday 15 May, time 16.30-17.30

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