Speaker：Shaoyun Yi (Xiamen University)

Time：2025-4-7, 15:30

Location：Room C610 & Tencent Meeting ID：233-126-584（No Password）

Abstract:

In this talk, we will discuss the classical Siegel Eisenstein series of weight k and degree 2 within an adelic framework, mainly applying the method known as “Hecke summation”. In the process, we recover the classical Fourier expansion of the Siegel Eisenstein series from an adelic point of view. One of our goals is to determine the automorphic representations associated to these Siegel Eisenstein series, particularly for the case of weight k = 2, where the underlying global representation is highly reducible.

We will begin by introducing the necessary background and motivation for this work. Next, we will review recent results in the study of classical and adelic Eisenstein series for GL(2) (the degree 1 case), which may be viewed as a toy example. Finally, we will present an overview of our ongoing work on the Siegel Eisenstein series of degree 2. These are joint works with Manami Roy and Ralf Schmidt.