题目: Sum of multiplicities of cuspidal automorphic representations 

报告人：余红杰 中国科学院晨兴数学中心

时间：5月14日（星期二）14:00-15:00

地点：五教5505

摘要: The dimension formula is a classical result in the theory of modular forms. We are interested in the analogue question over a function field in more general setting. Let G be a split reductive group defined over a function field. We are interested in the sum of multiplicities of irreducible representations containing a depth zero representation of G(O), where O is the ring of integer adeles, in the automorphic cuspidal spectrum. I will present some results that the sum is given in terms of the number of F_q-points of Hitchin moduli spaces.