Title: Quaternionic Modular Forms

Abstract: In this talk I will motivate and introduce the concept of a quaternionic modular form. We will begin by recalling the definition of, and basic facts about, classical modular forms, as well as their reformulation in Lie theoretic terms. Classical modular forms, in fact the broader class of holomorphic modular forms, often possess a Fourier series expansion. We will see how this leads to the proof of a Sturm bound on the size of spaces of these forms. Next, we will define quaternionic modular forms, which are another class of automorphic form on which a concept of Fourier coefficient can be defined. Finally, I will discuss progress on a project to establish a Sturm bound for the simplest case of quaternionic modular forms, those defined on $SO(4,3)^0$.

Talk: Click here. Passcode: ER5Z6@+E

Coffee Hour: - Wednesday, October 29, at 11AM EDT. Zoom Meeting ID: 813 7199 8280
Password: Another name for the closed surface of genus one. (Starts with a `T')