Summer School FOUVRY-73

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Date 17.08.2026 28.08.2026
Hour 09:0017:00
Speaker Sarah Peluse (Stanford University) Additive Combinatorics
Stephanie Chan (University College London) Arithmetic Statistics
Paul Nelson (Aarhus University) Automorphic forms
Kevin Destagnol (Laboratoire de Mathématiques d'Orsay) Analytic number theory and rational points   Adam Harper (University of Warwick) Introduction to random multiplicative functions Emmanuel Kowalski (ETH Zürich) Trace functions and their applications James Maynard (University of Oxford) Sieve Theory    
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Category Conferences - Seminars
Event Language English

By its very nature, analytic number theory involves a very broad array of methods and tools. It has been instrumental in developing a number of important areas of mathematics, such as representation theory, from the characters of finite abelian groups, used by Dirichlet to study primes in arithmetic progressions, to the representation theory of reductive Lie groups, which is an essential component of the Langlands program. In recent years, important breakthroughs have been achieved using tools borrowed, for instance, from ergodic theory and homogeneous dynamics, from additive combinatorics, or from very fine aspects of probability theory (such as the so-called Gaussian Multiplicative Chaos).
It is because of the truly kaleidoscopic aspect of analytic number theory that young researchers benefit immensely from broad instructional programs where they can get first exposure to some of the new techniques which may be of critical importance in their own research.

Two weeks of lectures given by world class mathematicians on important topics in Analytic Number Theory for PhD students and Postdocs researchers in the domain.

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Tags

Analytic Number Theory abelian additive combinatorics probability theory

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