报告人：乔雨（陕西师范大学）

时间：2021年12月14日15:00

腾讯会议ID：371 498 746

摘要：Let $X$ be a finite-dimensional real vector space, and $\mathcal{S}$ a semi-lattice of subspaces of $X$. Consider Hamiltonians of the form $H:=-\Delta+ \sum_{Y \in \mathcal{S}} v_Y$, where $v_Y$ belongs to a special class of functions on $X$. In order to compute the essential spectrum of $H$, Georgescu and Nistor introduced a $C^*$-algebra $\mathcal{E}(X)$ in 2017. Later on, Mougel, Nistor, and Prudhon defined the $C^*$-algebra $\mathcal{E}_{\mathcal{S}}(X)$.However, in the framework of true $N$-body problem, one naturally considers the Georgescu's $C^*$-algebra $\mathcal{G}_{\mathcal{S}}(X)$. We will discuss the relation between these two $C^*$-algebras, and the spectrum of $\mathcal{G}_{\mathcal{S}}(X)$ with $\mathcal{S}$ countably infinite.

It is joint work with J\'er\'emy Mougel (U. of G\"otingen) and Yunfei Song.

简介:乔雨，陕西师范大学副教授。2003年7月毕业于中国科学技术大学，获学士学位. 2011年8月毕业于美国宾州州立大学(The Pennsylvania State University)，获基础数学博士学位。研究方向为算子代数与非交换几何，相关研究结果发表在IEOT、Revue Roumaine de Mathematiques Pures et Appliquees 等杂志上。

邀请人：王显金

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