地点：数学高等研究院报告厅

时间：9月17日，16:00 - 17:00

报告人：Alfio Fabio La Rosa (数学高等研究院)

摘要：A conjecture of K. Buzzard and T. Gee posits that certain properties of the infinitesimal character of the Archimedean component of an automorphic representation translate into arithmetic properties of its non-Archimedean component. In particular, it is conjectured that C-algebraic automorphic representations are C-arithmetic. All the known cases rely on the existence of geometric models for the representation in question, but many C-algebraic representations do not admit such realisations. The main purpose of this talk is to propose to investigate the conjecture through the trace formula: I will present a non-geometric proof that cuspidal automorphic representations which are regular discrete series at infinity are C-arithmetic. I will conclude by discussing how the conjecture can be reduced to the cuspidal case.