1903
Arithmetic of Shimura Varieties
Workshop
1903Period
13 Jan - 19 Jan 2019Abstract
Arithmetic properties of Shimura varieties are an exciting topic which has roots in classical
topics of algebraic geometry and of number theory such as modular curves and modular forms. This very active research field has contributed to some of the most spectacular developments in
number theory and arithmetic geometry in the last twenty years. Shimura varieties and their equal characteristic analogue, moduli spaces of shtukas, are closely related to the Langlands program (classical as
well as $p$-adic). A particular case is given by moduli spaces of abelian
varieties, a classical object of study in algebraic geometry.