Colloquium: Danny Neftin (Technion) — Reducibility of polynomials under specializations

Live broadcast: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=b6d4fc60-f971-4aac-a0fa-ad2d00fde42c

Title: Reducibility of polynomials under specializations

Abstract: Given an algebraic family of irreducible polynomials f(t,x) ∈ ℚ(t)[x]​ that depends on a parameter t​, how large is the set of rational values t=t0 for which f(t0,x) ∈ ℚ[x]​ is reducible? When is it infinite? 
We shall discuss this problem, its role in arithmetic geometry, applications to arithmetic dynamics, and, as time permits, its relation to the question: "can you hear the shape of the drum?"

Date: 

Thu, 27/05/2021 - 14:30 to 15:30

Location: 

מתמטיקה 2