Artin L-functions, Artin's primitive roots conjecture and applications / ICTP

Emplacement

SIRINCE
,
Turquie

Dates

à

Présentation

This school is intended to foster anlytic number theory as well as algebraic number theory and arithmetic geometry in Turkey. The school revolves around Artin’s primitive root conjectures and Artin’s L-functions, two subjects that lie at the crossroads of these three fields. It will give the attendees the opportunity to learn some basics notions on the following topics : a brief introduction to algebraic number theory culminating in the celebrated Chebotarev Density Theorem ; an introduction to the representation theory of finite groups culminating in the definition of Artin’s L-functions and the group theoretic proof of their meromorphicity ; an introduction to zeta functions and L-functions ; distribution of primes ; an introduction to elliptic curves and analogues of Artin’s Conjecture, and last but not least Hooley’s Theorem and quasi resolution. All courses will be taught in English.

Coordinateurs administratifs et scientifiques

Ayhan Dil (Akdeniz University,
Turquie
,
ayhandil@gmail.com
)
Anne Quéguiner-Mathieu (Université Paris 13,
France
,
queguin@math.univ-paris13.fr
)

Programme scientifique

Cours 1: "Elliptic curves analogoues", Alina Cojocaru (University of Illinois at Chicago, USA)

Cours 2: "Chebotarev density theorem", Nathan Jones (University of Illinois at Chicago, USA)

Cours 3: "Representation theory of finite groups", Marina Monsurrò (Università Europea di Roma, Italy)

Cours 4: "Distribution of primes", Alina Ostafe (University of New South Wales, Australia)

Cours 5: "Distribution of primes", Francesco Pappalardi (Università Roma Tre, Italy)

Cours 6: "Hooley theorem and quasi resolution", Cihan Pehlivan (Koc University, Turkey)

Cours 7: "Representation theory of finite groups", Anne Quéguiner-Mathieu (Université Paris 13, France)

Cours 8: "Chebotarev density theorem", Adriana Salerno (Bates College, USA)

Cours 9: "Elliptic curve analogues", Valerio Talamanca (Università Roma Tre, Italy)

Cours 10: "L-functions and ζ-functions", Michel Waldschmidt (Université Paris 6, France)

Site internet de l'école

http://archive.schools.cimpa.info/archivesecoles/20171023105958/index.html

Comment participer

Pour s'inscrire et candidater à un financement CIMPA, suivre les instructions données ici.

Date limite d'inscription et de candidature : 22 janvier 2017.