Title: On the number of rational points on Drinfeld modular varieties over finite fields

Speaker: Mihran Papikian, Stanford

Abstract:
Drinfeld and Vladut proved that Drinfeld modular curves have many $\mathbb{F}_{q^2}$-rational points compared to their genera. We propose a conjectural generalization of this result to higher dimensional Drinfeld modular varieties, and prove a theorem giving some evidence for the conjecture.