4/15/2005

Michael Larsen
Indiana University

The inverse Galois problem for p-adic Lie algebras

For a number field K and a (compact) p-adic Lie groups G, the inverse Galois problem asks whether G can be realized as the Galois group of an extension of K. Already in the case that G is zero-dimensional, this is too difficult. So I propose to relax the problem and ask which p-adic Lie algebras can be realized.