2026 Geometric representation theory and automorphic forms（January 5-9, 2026，Sanya）

From January 5 to 9, 2026, the Academy of Mathematics and Systems Science, CAS, CNRS and Tsinghua University jointly held geometric representation theory and automorphic forms. The topic of this conference is geometric representation theory, automorphic forms and their connections. In recent years, there have been spectacular progresses in the study of geometric constructions of Lie-theoretic objects, including new families of quantum groups, and in the realization of their representations using new types of geometric invariants such as critical cohomology. At the same time, the branches of number theory that are most directly related to the arithmetic of automorphic forms have seen much progress, with the resolution of many longstanding conjectures. These breakthroughs have also largely been achieved by the discovery of new geometric techniques and insights. The conference will focus on the recent results in both areas, as well as on the connections between them.