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Algebraic twists of automorphic forms

作者:   時間:2020-04-24   點擊數:

題目:Algebraic twists of automorphic forms

報告人:Yongxiao LIN,EPF Lausanne

時間:202052 02:00 下午

摘要:Given a fixed GL_m-automorphic form F, it is tempting to show that the Fourier-Whittaker coefficients \lambda_F (n) of F do not correlate with the trace function K(n) of a general \ell-adic sheaf modulo q, in the convexity range q^{m/2}. We will discuss our new works in this direction for the GL_3 and GL_3\times GL_2 cases, describe the connection of such a statement with some aspects of the subconvexity problem for L-functions, and mention some surrounding questions and challenges. This is based on joint works with E. Kowalski, Ph. Michel, and W. Sawin.

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