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NCTS Number Theory Seminar
 
10:30 - 11:30, January 21, 2022 (Friday)
R509, Cosmology Building, NTU
(臺灣大學宇宙學大樓 509室)
On Deligne’s Conjecture for Symmetric Fifth L-functions of Modular Forms
Shih-Yu Chen (Academia Sinica)

Abstract:

Given an elliptic newform , we can associate the symmetric -th power -functions for each . In 1977, Deligne’s proposed a conjecture on the algebraicity of critical values of in terms of periods attached to . The conjecture was considered by various authors when . In this talk, we will introduce a proof of the conjecture when .
 
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