Collision of orbits under the action of a Drinfeld module

Speaker: Dragos Ghioca

Date: Thu, Feb 1, 2024

Location: PIMS, University of British Columbia, Zoom, Online

Conference: UBC Number Theory Seminar

Subject: Mathematics, Number Theory

Class: Scientific

Abstract:

We present various results and conjectures regarding unlikely intersections of orbits for families of Drinfeld modules. Our questions are motivated by the groundbreaking result of Masser and Zannier (from 15 years ago) regarding torsion points in algebraic families of elliptic curves.