大连理工大学数学科学学院
通知与公告

【纽约州立大学阿尔巴尼分校】Determinantal Hypersurfaces, Joint Spectra, and Representations of Coxeter Groups

2019年05月27日 14:24  点击:[]

报告题目:Determinantal Hypersurfaces, Joint Spectra, and Representations of Coxeter Groups

 

报告人:Michael Stessin  纽约州立大学阿尔巴尼分校


报告时间:2019528日星期二  上午10:00-11:00     2019529日星期三  上午10:00-11:00


报告地点:创新园大厦 B1410


报告校内联系人:卢玉峰  教 授  联系电话:84708351-8127

 

报告摘要:This talk is based on joint works with Z. Cuckovic, T. Peebles, A. Tchernev and J. Weyman. Given a tuple  of NXN matrices, determinantal hypersurface  is an algebraic set in the complex projective space  given by . In the infinite dimensional case of operators acting on a Hilbert space, the corresponding set is called the projective joint spectrum and is defined by . The main topic of the talk is how the geometry of the joint spectrum reveals a mutual behavior of the operators in the tuple. We’ll see that this investigation leads to a characterization of representations of finite Coxeter groups in terms of determinantal hypersurfaces.

 

报告人简介:Michael Stessin是纽约州立大学阿尔巴尼分校数学与统计系系主任,研究兴趣包括逼近论、算子理论、函数空间理论、多复分析等。在Trans. Amer. Math. Soc., J. Funct. Anal., J. Approx. Theory, J. Anal. Math. 等杂志上发表多篇论文。

 

 

 

 

数学科学学院

2019527  

上一条:【韩国仁荷大学】An infinite family of nongeometric embeddings of braid group into MCG and their homology triviality 下一条:【中国人民大学】On global solutions and blow-up for a short-ranged chemicalsignaling loop

关闭