organized by
Lior Bary-Soroker (Tel Aviv University),
Pierre Dèbes (Université de Lille),
Arno Fehm (Universität Konstanz),
Zeev Rudnick (Tel Aviv University)
Number theoretical topics in inverse Galois theory
Short summary
The aim of the course will be to introduce the
audience to both inverse Galois theory and some number theoretical topics involved in inverse Galois theory.
We will set some recent result of the lecturer as the final goal and will use it as a motivation to discuss the
topics that it goes through: the Inverse Galois problems, the geometric approach, Hilbert's irreducibility
theorem, the Tchebotarev theorem, the Grunwald problem, the Malle conjecture, some diophantine
material on curves: Lang-Weil over finite fields, Heath-Brown-Walkowiak over the rationals, etc.
Course material
- Extended abstract of the course [pdf]
- Exercises and problems [pdf]
- Walkowiak's paper on Hilbert's irreducibility theorem [pdf]
- Riemann Existence Theorem (link)
(link)
Further information
For further information on this course please contact
Pierre Dèbes.
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