Penn Arts & Sciences Logo

Galois Seminar

Friday, March 28, 2014 - 3:15pm

Sebastian Moore

University of Pennsylvania

Location

University of Pennsylvania

DRL 4N30

I will discuss a paper by Obus and Pries of the same title. The subject is Galois extensions of a complete discretely valued field of characteristic p>0 with algebraically closed residue field. The authors prove a necessary and sufficient condition for a sequence of rational numbers to occur as the upper jumps in the ramification filtration of such an extension when the Galois group is of the form ℤ/pⁿ⋊ℤ/m with gcd(p,m)=1. In addition, they give a scheme whose rational points are in bijection with isomorphism classes of such extensions.