Ruprecht-Karls-Universität Heidelberg
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„On the Miyawaki lifts of hermitian modular forms“
Prof. Hisashi Kojima, University of Tokyo, Japan

It is an important problem to construct interesting automorphic forms on groups of higher degree. Ikeda constructed the Miyawaki lift which is a lifting of Siegel cusp forms given by pulling back of the Ikeda lift. In this lecture, we consider the Miyawaki lifts of hermitian modular forms. We construct a lifting from an elliptic modular cusp form f and a hermitian modular cusp form g of degree r to a hermitian modular cusp form of degree n+r. When f and g are Hecke eigenforms, its lift is also a Hecke eigenform (if it is not identically zero). Moreover, we determine explicitly the standard L-function and the A-parameter associated to the Miyawaki lift. This is a joint work with H. Atobe.

Mittwoch, den 16. Januar 2019 um 11:15-12:00 Uhr, in Mathematicon, INF 205, Seminarraum 4, 3. OG Mittwoch, den 16. Januar 2019 at 11:15-12:00, in Mathematicon, INF 205, Seminarraum 4, 3. OG

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