Number Theory Seminar: Rectangular Representations and Λ-independence of Algebraic Monodromy Groups

Speaker: Chun-Yin HUI (The University of Hong Kong)

Abstract. Let g be a complex semisimple Lie algebra. We define what it means for a finite dimensional representation of g to be rectangular and completely classify faithful rectangular representations. As an application, we obtain new λ-independence results on the algebraic monodromy groups of compatible systems of λ-adic Galois representations of number fields. This is a joint work with Wonwoong Lee.

Time: 14:30~15:30, Thur., Aug. 7, 2025

Location: R810, SIMIS