Relative Trace Formula, Periods and non-vanishing of L-values — Dinakar Ramakrishnan (Caltech)

Séminaire « Arithmétique »
M2 Kampé de Fériet

Of fundamental importance in number theory is the question of non-vanishing of central L-values of L-functions. One approach, explained in the talk, is to make use of the Relative trace formula (which will be introduced); a basic example of interest involves twists of L-functions of modular forms. If time permits, we will explain the recent work with Michel and Yang on U(2)-twists of U(3) L-functions.

Discriminant modulaire

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