This School is intended to foster anlytic 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