Posted in
Speaker:
Jae-Hyun Yang
Affiliation:
Inha U/MPI
Date:
Wed, 27/04/2011 - 14:15 - 15:15
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar In this talk I will discuss differential operators on the Siegel-Jacobi space invariant under the
natural action of the Jacobi group, and using these invariant differential operators we study
Maass-Jacobi forms.
The Siegel-Jacobi space is a very important non-reductive homogeneous space
in the aspects of arithmetic and geometry. I review the works of Hans Maass and
Goro Shimura about invariant differential operators on the Siegel space roughly.
I will present my results on invariant differential operators on the
Siegel-Jacobi space. Also I present some examples of explicit invariant
differential operators on the Siegel-Jacobi space. In the end of my talk, I
will propose several important problems that must be investigated in the
future.
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