On classical and adelic
Eisenstein series
报告专家：易少云（厦门大学）
报告时间：6月20日（星期五）下午 14:30-15:30
报告地点：国家天元数学西南中心401
报告摘要：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 some necessary background and motivation for this work. Next, we will report our recent results on classical and adelic Eisenstein series for GL(2) (i.e., 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.
专家简介：易少云，厦门大学助理教授，2012年本科毕业于中国科学技术大学，2019年博士毕业于美国俄克拉荷马大学。主要研究方向为数论、表示论，研究成果发表或被接受于Ramanujan J.、Finite Fields Appl.、Forum Math.、Mathematika、Commun. Math. Stat.、Rocky Mountain J. Math.、Proc. Amer. Math. Soc.、J. Number Theory等国际数学期刊。
邀请人：许宾
