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