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- 25th, 2018








Schedule

Mon, 21 May 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

Tue, 22 May 2018

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

Wed, 23 May 2018

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

Thu, 24 May 2018

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

Fri, 25 May 2018

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