Hauptseminar Modulformen

In the theory of modular forms, Eisenstein series plays an important role because of its explicit Fourier coefficients. It is well-known that the algebra of modular forms on $SL_2(\mathbb{Z})$ is generated by the classical Eisenstein series $E_4$ and $E_6$. For a fixed weight $k$, Kohnen and Zagier showed that it suffices to consider the span of the products of two Eisenstein series $E_\ell$ and $E_{k - \ell}$. In this talk, we will look at a related question, first raised by Tonghai Yang, about the span of the restrictions of coherent Eisenstein series. We will discuss the construction of these Eisenstein series, its relationship to special values of L-function, and other related open problems.

Mittwoch, den 20. Mai 2015 um 11 Uhr c.t. Uhr, in INF 288, HS5 Mittwoch, den 20. Mai 2015 at 11 Uhr c.t., in INF 288, HS5

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Kohnen