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Pure Maths Colloquium: Embedding problems
Presented by "Ted Chinburg (University of Pennsylvania, Philadelphia, USA)",
27 November 2000 16:00 in CM221
"The main problem of inverse Galois theory is to construct Galois extensions of a given field with a prescribed Galois group. Embedding problems ask more generally how one can embed a given Galois extension into a larger one with a prescribed Galois group. This talk is about two questions: (1) When do all solutions of a given embedding problem arise from the universal deformation of a Galois representation? (2) If one can solve all finite quotients of an embedding problem, can the original problem be solved? Part (1) is joint with F. Bleher, and part (2) is joint with D. Glass."
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