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【数论讨论班】Average Central L-values on U(2,1)$\times$ U(1,1), Nonvanishing and Subconvexity

【 发布日期:2020-10-22 】

题目:Average Central L-values on U(2,1)$\times$ U(1,1), Nonvanishing and Subconvexity

主讲人:杨李扬(California Institute of Technology)

时间:2020年10月27日,14:00-15:00

地点:腾讯会议,会议 ID:995 338 269

摘要: In this talk, we study an average of automorphic periods on $U(2,1)\times U(1,1)$. We also compute local factors in Ichino-Ikeda formulas for these periods to obtain an explicit asymptotic expression. Combining them together we would deduce some important properties of central L-values on $U(2,1)\times U(1,1)$ over certain family: the first moment, nonvanishing and subconvexity. This is joint work with Philippe Michel and Dinakar Ramakrishnan.