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Westlake Online Math Forum第三十七期 | Jie Lin: Deligne's conjecture for Rankin-Selberg L-functions
时间
2025年5月7日(星期三)
14:00-15:45
地点
E10-312
主持
理论科学研究院
受众
全体师生
分类
学术与研究
Westlake Online Math Forum第三十七期 | Jie Lin: Deligne's conjecture for Rankin-Selberg L-functions
时间:2025年5月7日(星期三)14:00-15:45
地点:E10-312
主讲人: Jie Lin, Universität Duisburg-Essen
主讲人简介: Jie Lin is a research assistant at Universität Duisburg-Essen in Germany. She was admitted to École Normale Supérieure (ENS) Paris and obtained her Ph.D degree at Université Paris VII. Her research interests include periods and special values of L-functions in both automorphic and motivic aspects.
讲座主题:Deligne's conjecture for Rankin-Selberg L-functions
讲座摘要: In this talk, we shall first introduce Deligne's conjecture for critical L-values, which generalizes the famous result by Euler that for a positive integer m, \zeta(2m) is a rational multiple of (2\pi i)^{2m}. We will then refine Deligne's conjecture for Rankin-Selberg L-functions over CM fields. Finally, we will introduce a new strategy to prove this conjecture. This is a joint work with Harald Grobner, Michael Harris, and A. Raghuram.