The research topics of this program cover a wide spectrum of number theory. We focus on the following four areas:

a. The geometry of Shimura varieties over finite fields and class number formulas

of central simple algebras (Chia-Fu Yu);

b. Explicit methods for classical modular forms and Shimura curves (Yifan Yang);

c. Transcendental number theory in positive characteristic, and functional field

analogue of multiple zeta values (Chieh-Yu Chang);

d. Iwasawa theory and p-adic methods in algebraic number theory and automorphic forms (Ming-Lun Hsieh).