On the Recursion Formula of the Ramified Siegel Series

開催日時
2024/06/07 金 13:30 - 14:30
場所
3号館552号室
講演者
渡邉真広
講演者所属
京大数理研
概要

The ramified Siegel series can be obtained from the Fourier coefficients of the Siegel-Eisenstein series. Several research has been carried out on the Siegel-Eisenstein series. In this talk, we will discuss the calculation of the recursion formula for the ramified Siegel series. We have shown this recursion formula by constructing a bijective proof from the combinatorial formula used by Sato and Hironaka to show the local density. We will discuss the functional equations of the ramified Siegel series if time permits.