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SUMMARY:École d'été 2014 Théorie analytique des nombres
DTSTART;VALUE=DATE-TIME:20140709T070000Z
DTEND;VALUE=DATE-TIME:20140723T160000Z
DTSTAMP;VALUE=DATE-TIME:20211204T012752Z
UID:indico-event-220@indico.math.cnrs.fr
DESCRIPTION:\n Objective\n\n Organised as part of the "IHÉS L
ectures"\, this Summer School aims to train PhD students\, post-docs and y
oung researchers on recent topics of Analytic Number Theory and to promote
exchanges between young researchers of all nationalities.\n \n Anal
ytic number theory began with the first questions concerning the distribut
ion of prime numbers. Since then\, the subject has evolved in many directi
ons\; it has influenced and interacted with many areas of mathematics\, by
lending or borrowing ideas going from combinatorics to representation the
ory\, and from modular forms to the deepest reaches of algebraic geometry.
\n \n The summer school will cover both classical and emerging topic
s of analytic number theory\, with a focus on the properties of prime numb
ers:\n \n (1) advanced sieve methods and their refinements\, includi
ng approaches to gaps between primes and asymptotic sieve for primes\;\n
\n (2) distribution of arithmetic functions in arithmetic progression
s\, especially in ranges beyond the direct reach of the Riemann Hypothesis
\;\n \n (3) exponential sums over finite fields\, and their analytic
applications\, with a focus on the formalism and uses of Frobenius trace
functions\;\n \n (4) modular forms and associated L-functions\, and
other analytic aspects of the Langlands program\, such as the behavior of
torsion homology\;\n \n (5) additive combinatorics.\n\n \n
\n\n \n\n Avec le soutien de\n la Société Générale\n\n
\n\n Speakers\n\n \n Jean BOURGAIN (Princeton\, USA)\n
\n Valentin BLOMER (Universität Göttingen\, Germany)\n \n
Etienne FOUVRY (Université Paris-Sud\, Orsay)\n \n Andrew G
RANVILLE (Université de Montréal\, Québec)\n \n Harald HELFGO
TT (ENS\, Paris)\n \n Henryk IWANIEC (Rutgers University\, Pisca
taway\, USA)\n \n Emmanuel KOWALSKI (ETH Zürich\, Switzerland)\
n \n Philippe MICHEL (EPFL Lausanne\, Switzerland)\n \n
Peter SARNAK (IAS Princeton\, USA)\n \n Kannan SOUNDARARAJAN (
Stanford University\, USA)\n \n Terence TAO (UCLA\, USA)\n \n
Akshay VENKATESH (Stanford University\, USA)\n\n\n\n\n Autre é
vénement\n\n Workshop on Analytic Number Theory and Geometry\n orga
nisé par Farrell Brumley\n 24-25 juillet\, 2014\n Université Paris
13\n\nhttps://indico.math.cnrs.fr/event/220/
LOCATION:IHES Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/220/
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