数学研究所

华罗庚青年数学论坛报告

Speaker: Dr. Jie Lin（Duisburg-Essen University）

Inviter: 余红杰 副研究员

Language: English

Title: Deligne's conjecture for Rankin-Selberg L-functions（1）

Time&Venue: 2025年5月14日（星期三） 

14:00-15:00 & 晨兴510

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Title: Deligne's conjecture for Rankin-Selberg L-functions（2）

Time&Venue: 2025年5月14日（星期三） 

15:30-16:30 & 晨兴510

Abstract:In talk 2, we will formulate an automorphic variant of Deligne's conjecture for the Rankin-Selberg L-function over quadratic imaginary fields. This conjecture relates automorphic L-values with automorphic periods. We then explain a proof of this automorphic variant (ongoing joint work with H. Grobner, M. Harris and A.Raghuram).

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Title: Deligne's conjecture for Rankin-Selberg L-functions（3）

Time&Venue: 2025年5月15日（星期四） 

16:00-17:00 & 晨兴510

Abstract: In talk 3, we explain a conditional proof for relations between automorphic periods and motivic periods (joint work with H. Grobner and M. Harris), and finally deduce Deligne's conjecture for the tensor product of two automorphic motives. If time permits, we shall explain how to generalize the results from imaginary quadratic fields to CM fields.