A GTEM day 12-13 of August 2010, Institute for Experimental Mathematics (IEM), Duisburg-Essen University, Essen This workshop is aimed to graduate students and postdocs who are interested in Galois theory. The talks will survey some of the recent advancements in the field. The focus is on elementary exposition and on open problems. Program Thursday morning Arrival Thursday 14:30-15:00 Gathering and coffee Thursday 15:00-16:00 Lior Bary-Soroker (IEM): Hilbertian fields I Thursday 16:10-17:10 Arno Fehm (The Hebrew University): Ample fields Friday 09:30-10:30 Gabor Wiese (IEM): Modular realization Friday 10:30-11:00 Coffee break Friday 11:00-12:00 Sebastian Petersen: Hilbertianity of division fields of abelian varieties Friday 12:10:13:10 Joachim König (Würzburg): Hilbertian fields II Friday 13:10- Lunch, discussion session, oder