XMU/XMUM Joint Mathematics Online Seminar: Some remarks on classical and adelic Eisenstein series

：易少云（厦门大学）
：2025-04-07 15:30
：海韵园行政楼C610&腾讯会议ID: 233-126-584（无密码）

报告人：易少云（厦门大学）

时  间：2025年4月7日15:30

地  点：海韵园行政楼C610&腾讯会议ID: 233-126-584（无密码）

内容摘要:

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.

个人简介：

Shaoyun Yi is an Assistant Professor at the School of Mathematical Sciences, Xiamen University. He received his bachelor's degree in mathematics from the University of Science and Technology of China in 2012 and earned his Ph.D. in 2019 from the University of Oklahoma. His research focuses on number theory and representation theory.