École d'été 2014 Théorie analytique des nombres
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Europe/Paris
Centre de conférences Marilyn et James Simons (IHES)
Centre de conférences Marilyn et James Simons
IHES
35, route de Chartres
91440
Bures sur Yvette
Description
Objective
Organised as part of the "IHÉS Lectures", this Summer School aims to train PhD students, post-docs and young researchers on recent topics of Analytic Number Theory and to promote exchanges between young researchers of all nationalities.
Analytic number theory began with the first questions concerning the distribution of prime numbers. Since then, the subject has evolved in many directions; it has influenced and interacted with many areas of mathematics, by lending or borrowing ideas going from combinatorics to representation theory, and from modular forms to the deepest reaches of algebraic geometry.
The summer school will cover both classical and emerging topics of analytic number theory, with a focus on the properties of prime numbers:
(1) advanced sieve methods and their refinements, including approaches to gaps between primes and asymptotic sieve for primes;
(2) distribution of arithmetic functions in arithmetic progressions, especially in ranges beyond the direct reach of the Riemann Hypothesis;
(3) exponential sums over finite fields, and their analytic applications, with a focus on the formalism and uses of Frobenius trace functions;
(4) modular forms and associated L-functions, and other analytic aspects of the Langlands program, such as the behavior of torsion homology;
(5) additive combinatorics.
la Société Générale
Speakers
- Jean BOURGAIN (Princeton, USA)
- Valentin BLOMER (Universität Göttingen, Germany)
- Etienne FOUVRY (Université Paris-Sud, Orsay)
- Andrew GRANVILLE (Université de Montréal, Québec)
- Harald HELFGOTT (ENS, Paris)
- Henryk IWANIEC (Rutgers University, Piscataway, USA)
- Emmanuel KOWALSKI (ETH Zürich, Switzerland)
- Philippe MICHEL (EPFL Lausanne, Switzerland)
- Peter SARNAK (IAS Princeton, USA)
- Kannan SOUNDARARAJAN (Stanford University, USA)
- Terence TAO (UCLA, USA)
- Akshay VENKATESH (Stanford University, USA)
Autre événement
Workshop on Analytic Number Theory and Geometry
organisé par Farrell Brumley
24-25 juillet, 2014
Université Paris 13
organisé par Farrell Brumley
24-25 juillet, 2014
Université Paris 13
Participants
Alena Pirutka
Alexandre Peyrot
Alisa Sedunova
Anders Södergren
Andreas Steiger
Anurag Sahay
Ardavan Afshar
Arthur-César Lebras
Ashkan Nikeghbali
Benny Löffel
Berke Topacogullari
Bingrong HUANG
Boris Bartolomé
Brad Rodgers
Chandra Sekhar Raju
Charlotte Euvrard
Chunhui LIU
Coline Wiatrowski
Corentin Perret-Gentil
Daniel Fiorilli
Daniel Würsch
Didier Lesesvre
Dimitri Dias
Dimitrios Koukoulopoulos
Djordje Milicevic
Djordjo Milovic
Dmitriy Frolenkov
Efthymios Sofos
Fabian Dehnert
FAN ZHOU
Farrell Brumley
Florent Jouve
Gautier Hanna
George Schaeffer
GIACOMO CHERUBINI
Han WU
Huajie Li
Ian Petrow
Igor Wigman
Jacques Benatar
Jehanne Dousse
Joao Guerreiro
John Welliaveetil
Jolanta Marzec
Jonathan Wing Chung Lam
Julio Andrade
Justin Scarfy
Justin Trias
Ke Gong
Krzysztof Pawelec
Kévin Destagnol
Levent Alpoge
Lilian Matthiesen
Liyang Zhang
Lucile Devin
Maksym Radziwill
Maria Avdeeva
Maria Monica Nastasescu
Martin Dickson
Mattia Righetti
Max Ehrman
Michael Rassias
Nadav Yesha
Nahid Walji
Oleksiy Klurman
Olga Balkanova
Paloma Bengoechea
Pankaj Vishe
Paul Nelson
Pierre Le Boudec
Ping Xi
Przemyslaw Mazur
Qiang Zhang
Rajay Ranganathan
Ramon Nunes
Ruixiang Zhang
Sandor Kiss
Sandro Bettin
Sary Drappeau
SATWIK MUKHERJEE
Shuai Zhai
Siegfred Baluyot
Stephen Lester
Subhajit Jana
Tian An Wong
Tristan Freiberg
Victor Cuauhtemoc Garcia
Victor Lambert
Vinay Viswanathan
Weikun He
Xiannan Li
Xuanxuan XIAO
Zarathustra Brady
Zhao XU
Zhenyu Guo
Zhizhong HUANG
Ángel David Martínez Martínez
Élie Goudout
Renseignements