Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Hiraku Atobe
Affiliation:

Tokyo University
Date:

Tue, 2017-11-21 15:00 - 15:50 We construct a lifting from a 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*. This lift is the

so-called Miyawaki lift. 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*A*-parameter associated to the Miyawaki lift.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/7600