Colloquium

Seminar information archive ~02/25Next seminarFuture seminars 02/26~

Organizer(s) ABE Noriyuki, IWAKI Kohei, KAWAZUMI Nariya (chair), KOIKE Yuta
URL https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index_e.html

2012/11/30

16:30-17:30   Room #123 (Graduate School of Math. Sci. Bldg.)
Siegfried BOECHERER (University of Tokyo)
What do Siegel Eisenstein series know about all modular forms? (ENGLISH)
[ Abstract ]
Eisenstein series came up in C.L.Siegel's famous work on quadratic forms. The main properties of such Eisensetin series such as analytic continuation and explict form of Fourier expansion are well understood. Nowadays, we use Eisenstein series of higher rank symplectic groups and their restrictions to study properties of all modular forms. I will try to survey the use of “pullbacks of Eisenstein series”: Basis problem, L-functions, p-adic properties, rationality and integrality questions.