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

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.