Date: Monday, April 08, 2013
Location: 4096 East Hall (3:00 PM to 5:00 PM)
Title: The Inverse Galois Problem with Local Conditions
Abstract: The results that I will present are part of a program, pursued by my students N. Ghazi, F. Legrand and myself, on the Galois extensions E/Q that can be obtained from a Galois extension F/Q(T) by specializing T. Beyond the Galois group of the specialized extensions, we have investigated their local behavior (inertia groups, decomposition groups) at given primes. I will also explain the implications of the results on classical topics from Inverse Galois Theory, like the Regular Inverse Galois Problem, the Noether program, the Beckmann-Black problem, the Grunwald Problem, the Inverse Galois Problem, etc.
Speaker: Pierre Debes
Institution: Universite Lille 1, France
Event Organizer: mityab@umich.edu
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