题目：Jacobi Forms over Number Fields

报告人：Prof. Nils-Peter Skoruppa（University of Siegen）

地点：致远楼101室

时间：2026年9月19日 星期六 10：00-11：00

Abstract：The first substantial theory of Jacobi forms over number fields was developed about a decade ago by H. Boylan. Its primary–though still unrealized–goal is to establish a lifting theory to Hilbert modular forms, offering features analogous to the well-understood case of Jacobi forms over the rational numbers, such as a Jacobi form variant of Waldspurger’s Theorem, applications to elliptic curves over number fields, algorithmic production of Tunnell like theorems etc. While this theory is still under development, recent progress has been made, which we aim to present in this talk. In particular, we will discuss new, arithmetically meaningful formulas for the Fourier coefficients of Jacobi Eisenstein series over number fields, dimension formulas, and the computation of nontrivial examples.

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