Emil Artin International School in Mathematics for Students A Wams school on The mathematics of Artin's conjectures Yerevan State University, Yerevan, Armenia May 21 ^{th}- 25^{th}, 2018 |
09:30 - 09:45 | P. Stevenhagen |
Introduction | |
09:45 - 10:20 | P. Moree |
Basic analytic number theory | |
10:30 - 11:20 | F. Pappalardi |
Prime number distibution and the Riemann zeta function | |
11:20 - 11:40 | Coffee Break |
11:40 - 12:30 | V. Talamanca |
Fundamentals of group theory | |
14:10 - 15:00 | L. Martirosyan |
Basic representation theory | |
15:00 - 17:00 | Tea, time to work on exercises |
17:00 - 18:00 | Exercise session |
09:30 - 10:20 | V. Talamanca |
Explicit Galois theory | |
10:30 - 11:20 | P. Stevenhagen |
Basic algebraic number theory | |
11:20 - 11:40 | Coffee Break |
11:40 - 12:30 | L. Martirosyan |
Linear representations and characters | |
14:10 - 15:00 | F. Pappalardi |
Dirichlet L-series and primes in arithmetic progression | |
15:00 - 17:00 | Tea, time to work on exercises |
17:00 - 18:00 | Exercise session |
09:30 - 10:20 | P. Stevenhagen |
The splitting of primes in number fields | |
10:30 - 11:20 | P. Moree |
Primitive roots: history and elementary considerations | |
11:20 - 11:40 | Coffee Break |
11:40 - 12:30 | F. Pappalardi |
The Dedekind zeta function | |
Afternoon | Excursion |
09:30 - 10:20 | P. Moree |
Asymptotically exact heuristics for Artin's conjecture | |
10:30 - 11:20 | L. Martirosyan |
Induced characters | |
11:20 - 11:40 | Coffee Break |
11:40 - 12:30 | V. Talamanca |
The Kronecker-Weber theorem | |
14:10 - 15:00 | P. Stevenhagen |
The Chebotarev density theorem | |
15:00 - 17:00 | Tea, time to work on exercises |
17:00 - 18:00 | Exercise session |
09:30 - 10:20 | P. Moree |
Hooley's theorem | |
10:30 - 11:20 | P. Stevenhagen |
The character sum method | |
11:20 - 11:40 | Coffee Break |
11:40 - 12:30 | L. Martirosyan |
Artin's and Brauer's theorem on induced characters | |
14:10 - 15:00 | F. Pappalardi |
Artin's L-series and the Artin holomorphy conjecture | |
15:00 - 17:00 | Tea, time to work on exercises |
17:00 - 18:00 | Exercise session |