学术报告
Concrete construction of automorphic representations and central value of L-functions - 许宾 教授（四川大学）
题目：Concrete construction of automorphic representations and central value of L-functions
报告人: 许宾 教授（四川大学）
Abstract : The central values of L-functions play an important role in the study of automorphic representations. For example, it is closely related to the periods of automorphic forms via the Gan-Gross-Prasad conjectures, and is crucial for the non-vanishing of global theta lifts. In this talk, we will recall some relations among global Arthur (Vogan) packets, automorphic periods, and automorphic L-functions. Then we introduce a new approach to show that, for a cuspidal representation of PGL(2) having a quadratic twist with root number +1, there exist quadratic twists with non-zero central L-values. The new approach is based on concrete constructions of automorphic representations. Moreover, the number of non-equivalent twists we can get depends on the cardinality of the related global packet. This talk is based on a joint work with Baiying Liu.
时间：6月4日（周五）下午13:30-14:30
地点：首都师范大学本部教二楼827教室
联系人：方江学
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