Speaker: Dr. Elyes Boughattas (MCM)

Title: The Grunwald problem for nonsolvable groups

Time: 10:30–11:30, October 29, 2026 (Thursday)

Inviter: Prof. Hongjie Yu (MCM, CAS)

Venue: MCM110

Abstract: The Grunwald problem is about finding a number field with prescribed finite Galois group and decomposition groups. This is a local-global avatar of the inverse Galois problem, a crucial question in Number Theory.

I will first explain Colliot-Thélène's approach to this question. It has been used in recent years to prove Grunwald problem for all solvable groups.

Eventually, I will explain how Neftin and I have used this approach to solve the Grunwald problem for new families of nonsolvable groups. This is arXiv:2404.0987