|Date: Monday, February 12, 2018
Location: 4088 East Hall (4:10 PM to 5:30 PM)
Title: Soft Hilbert Irreducibility Theorems
Abstract: Let G be the Galois group of a finite Galois extension L/K of the rational function field K = Q(t). The extension L/K gives rise to a one-parameter family of subgroups G_s <= G indexed by rational values s in Q. It is well understood that the G_s is well-defined up to conjugacy in G and that the set of s in Q such that G_s <= G is a thin set. We will discuss a soft technique for finding explicit s in Q satisfying G_s = G. We will also explain how to apply these techniques to extensions coming from arithmetic geometry.
Speaker: Chris Hall
Institution: Western University
Event Organizer: Efrat Bank