BIMSA > YMSC-BIMSA Quantum Information Seminar Operator-valued Dirichlet forms and module operator Markov semigroups
Operator-valued Dirichlet forms and module operator Markov semigroups
Organizers
Song Cheng , Dawei Ding , Jinpeng Liu , Zhengwei Liu , Ziwen Liu
Speaker
Lunchuan Zhang
Time
Friday, September 12, 2025 4:00 PM - 5:00 PM
Venue
Shuangqing-B627
Online
Zoom 230 432 7880 (BIMSA)
Abstract
In this talk, we extend the noncommutative symmetric Dirichlet forms to the operator-valued setting based on the framework of order Hilbert W*- bimodules, and establish the Beurling-Deny criterion between operator-valued Dirichlet forms and the associated module operator Markov semigroups, which contain all of the scalar-valued Dirichlet forms previously studied on various noncommutative probability spaces as special cases. Finally, example of operator-valued Dirichlet form is given by module derivation in operator-valued free probability theory.
Speaker Intro
张伦传，中国人民大学数学学院教授，博士生导师；中国人民大学本科教学督导专家团成员；长期从事算子代数与量子概率方面的教学与研究工作，出版《泛函分析》，《实变函数》（与张波合写）等本科教材（含教参）八部；在C*-遗传子代数与模表示、算子值Dirichlet型与量子Markov半群等研究方面做出了开创性工作，在国内外核心期刊发表论文40余篇，2024年在Springer press出版专著《Hilbert C*-Modules and Quantum Markov Semigroups》。业余爱好写寓言及童话故事，在《北京晚报》等媒体发表多篇小故事。