Summer School FOUVRY-73

Speaker: <a href="http://www.web.stanford.edu/~speluse/">Sarah Peluse</a> (Stanford University) Additive Combinatorics<br> <a href="https://stephytchan.github.io/">Stephanie Chan</a> (University College London) Arithmetic Statistics<br> <a href="https://www.au.dk/en/paul.nelson@math.au.dk/">Paul Nelson</a> (Aarhus University) Automorphic forms<br> <a href="https://www.imo.universite-paris-saclay.fr/~kevin.destagnol/">Kevin Destagnol</a> (Laboratoire de Mathématiques d'Orsay) Analytic number theory and rational points   <a href="https://warwick.ac.uk/fac/sci/maths/people/staff/harper/">Adam Harper</a> (University of Warwick) Introduction to random multiplicative functions <a href="https://people.math.ethz.ch/~kowalski/">Emmanuel Kowalski</a> (ETH Zürich) Trace functions and their applications <a href="https://www.maths.ox.ac.uk/people/james.maynard">James Maynard</a> (University of Oxford) Sieve Theory     Organiser: <a href="https://perso.imj-prg.fr/regis-delabreteche/">Régis de la Bretèche</a> (Université Paris Cité)<br> <a href="http://www-lmpa.univ-littoral.fr/~ldevin/">Lucile Devin</a> (Université du Littoral Côte d'Opale)<br> <a href="https://www.math.u-bordeaux.fr/~fjouve001/">Florent Jouve</a> (Institut de Mathématiques de Bordeaux)<br> <a href="https://people.math.ethz.ch/~kowalski/">Emmanuel Kowalski</a> (ETH Zürich)<br> <a href="https://people.epfl.ch/philippe.michel">Philippe Michel</a> (EPF Lausanne)<br>   <p>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,