Ruprecht-Karls-Universität Heidelberg
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„Drinfeld eigenforms with eigensystems {P^n}“
Dr. Aleksandar Petrov, MPIM Bonn

In this talk we will recall the theory of Drinfeld modular forms. After discussing the lack of eigenforms with respect to the Hecke action, we will introduce the concept of A-expansions for Drinfeld modular forms. We will show applications of A-expansions to the study of the Hecke action by showing that all forms with A-expansions are eigenforms with eigensystems {P^n}. We will conclude by giving a conjectural recipe (due to the author and El-Guindy) for the weights for which eigenforms with eigensystem P^n occur. Many of these eigenforms do not have A-expansions, but the recipe covers these as well.

Freitag, den 12. Juni 2015 um 13:30 Uhr, in INF288, HS2 Freitag, den 12. Juni 2015 at 13:30, in INF288, HS2

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Gebhard Böckle