We will briefly talk about generic Galois extensions and related problems and known results. Then, we will see why studying the Hasse-Witt invariant of the trace form of Galois extensions is important and use a result of Serre to show the existence of generic Galois extensions for extensions of symmetric groups.
Galois Seminar
Friday, February 19, 2010 - 3:15pm
Shuvra Gupta
Univ, of Pennsylvania