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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Rongwei YANG,SUNYat Albany, USA and Tianjin Normal University, China

Inviter:  
Title:
Projective Spectrum, Group Theory, Kahler Metric and Complex Dynamics
Time & Venue:
2018.1.4 10:30-11:30 N913
Abstract:

Finitely generated structures are importantsubjects of study in various mathematical disciplines. Examples include finitely generated groups, finitely generated Lie algebras and C*-algebras, tuples of several linear operators on Banach spaces, etc. It is thus a fundamental question whether there exists a universal mechanism in the study of these vastly diferent entities. In 2009, the notion of projective spectrum for several elements A_1, A_2, ..., A_n in a unital Banach algebra B was defined through the multiparameter pencil A(z) = z_1A_1+z_2A_2+...+z_nA_n, where the coefficients z_j are complex numbers. This conspicuously simple definition turned out to have a surprisingly rich content. In this talk we will review some results related to group theory, complex geometry, Lie algebras, operator theory and complex dynamics.

报告人简介:杨容伟,美国纽约州立大学ALBANY分校数学与统计系教授。本科及研究生分别就读于上海科技大学及复旦大学。1994年赴美国纽约州立大学石溪分校攻读数学博士。师从国际范函分析及算子理论方向著名学者RONALDG. DOUGLAS教授。1998年获博士学位。杨教授为多元算子理论研究方向国际知名专家。是双圆盘Hardy空间上算子理论及Banach代数算子投影谱理论的开创者。投影谱理论开拓了范函分析与其它众多数学方向的自然联系,在几何群论,李代数及复动力系统方向有重要的应用。

 

 

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