Arithmetic of Fields Safarevi C's Theorem on Solvable Groups as Galois Groups I

The organizers of the meeting were Wulf-Dieter Geyer (Erlangen) and Moshe Jarden (Tel Aviv). The 26 talks that were given during the conference fall (roughly) into several categories: 1. Fundamental groups and covers in characteristic p In the rst of two talks on the famous theorem of Safarevi c \Every nite solvable group occurs as a Galois group over a global eld" this result was composed with the related theorems of Scholz, Reichardt, and Neukirch and the idea of a simpliied proof was presented. In particular, a short proof of the so-called \shrinking lemma" was given and its applications to group cohomology were indicated.