Liftings of vector valued Siegel modular forms (Automorphic forms, automorphic representations and related topics)

Abstract

Chenevier-Lannes [3] gave a general description of the space of vector valued Siegel modular cusp forms by using Arthur's multiplicity formula. In particular, this description tells us the existence of many liftings of cusp forms. In this survey article, we will explain the description of Chenevier-Lannes, and give several examples of liftings, which contain lbukiyama's conjecture [6].