Hearing the shapes of division algebras

Abstract: To what extent to the splitting fields of a division algebra determine its structure? In the case of maximal subfields, it turns out that this question is closely related to the famous problem "can you hear the shape of a drum?" In this talk, I'll describe some work in progress with Max Lieblich, where we consider what happens when one considers splitting fields of small transcendence degree.

algebraic geometrygroup theorynumber theoryrepresentation theory

Audience: researchers in the topic

Algebraic groups and algebraic geometry: in honor of Zinovy Reichstein's 60th birthday