Special cycles on Shimura varieties and p-adic L-functions are two central subjects in number theory and arithmetic geometry. The study of combination of these two subjects has yielded new results and breakthroughs towards conjectures about algebraic cycles and L-functions. The aim of this program is to gather world experts and future leaders in these areas working on several precise topics:

1. Special cycles on Shimura varieties;
2. p-adic L-functions;
3. p-adic analogous of Gan-Gross-Prasad conjectures;
4. Iwasawa theory.