Seminar Event Detail

Group, Lie and Number Theory

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   


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