01
Introduction to Lie algebras and groups for beginners
报告人:Prof. Jun Morita
时间:2019-10-23 09:00、15:00
地点:实验楼105
摘要:
1.We review finite dimensional simple Lie algebras and groups as a rough sketch. We begin with Dynkin diagrams and several typical examples. Then, we reach a classification of finite dimensional simple Lie algebras and Dynkin diagrams.
2.We introduce some infinite dimensional world as a natural generalization. That is, Kac-Moody lie algebras and groups are discussed. Then, we find a very important class, called of affine type, including loop algebras and loop groups.
3.We see several important properties of Kac- Moody Lie algebras and groups. In group case, for example, we discuss Tits construction, Bruhat decomposition, presentation, simplicity, K2 group and some other related topics.
联系人:谭绍滨教授
02
Limit theorems for the tagged particle in exclusion processes on regular tree
报告人:陈大岳教授
时间:2019-10-24 16:30
地点:实验楼105
摘要:We consider exclusion processes on a rooted d-regular tree. We start from a Bernoulli product measure conditioned on having a particle at the root, which we call the tagged particle. For d> 2, we show that the tagged particle has positive linear speed and satisfies a central limit theorem. we give an explicit formula for the speed. As a key step in the proof, we first show that the exclusion process " seen from the tagged particle"has an ergodic invariant measure. The talk is based on a joint paper with Peng Chen. Nina Gantert. Dominik Schmid.
报告人简介:北京大学数学科学学院教授、院长,中国数学学会秘书长。
03
An ensemble dynamic flux modelling of glycerol metabolism in Klebsiella pneumoniae
报告人:叶剑雄副教授
时间:2019-10-26 10:00
地点:物机大楼661
摘要:Computational models for the determination of in vivo metabolic fluxes provide great insight into the understanding of cellular metabolism, and provide guidance for design, control and optimization of biotechnological processes. In this paper, an ensemble modelling framework is proposed for the determination of the dynamic flux distribution of glycerol metabolic pathways in Klebsiella pneumoniae. This integrated model consists of two different kinetic models for extracellular concentrations and a constraint-based model for intracellular fluxes. The extracellular kinetic models provide time-varying input fluxes for the intracellular system, resulting in a dynamic evaluation of intracellular flux distribution from non-steady state to steady state in continuous culture. The objective function in the constraint-based intracellular model is inferred through a bilevel programming problem. The computed fluxes are in consistent with experimental data under both substrate-limited and substrate-excess cultures. The simulated results also show the profiles of the intermediate fluxes. They help to understand the particular metabolism, serving as a theoretical guide for the optimization of theses processes.
报告人简介:福建师范大学数学与信息学院副教授,福建省运筹学协会理事,研究方向为最优控制理论及应用,目前从事生物系统的优化和控制,2019年应邀加入国际基因工程机器大赛(iGEM)测量委员会。
联系人:李安教授
04
Operators in type II1 factors
报告人:房军生教授
时间:2019-10-26 9:00
地点:实验楼108
摘要:I will talk about some open problems related to operators in type II1 factors, which include the invariant subspace problem, the strongly irreducible operators, irreducible operators reducible operators in type II1 factors.
报告人简介:河北师范大学数学科学学院,教授,博士生导师。2008年于美国新罕布什尔大学获得博士学位,2008-2010年于美国德克萨斯农工大学从事博士后研究。主要研究方向为泛函分析和算子代数。
联系人:陈东阳副教授
05
On the similarity of Cowen-Douglas operators with index one
报告人:纪奎教授
时间:2019-10-26 10:00
地点:实验楼108
摘要:In this talk, we introduce a new operator class of Cowen-Douglas operators with index two (denoted by $NFB_2(\Omega)$). We consider the unitarily classification of operators in $NFB_2(\Omega)$. As application, we give a similarity classification theorem of Cowen-Douglas operators with index one.
报告人简介:河北师范大学数学科学学院,教授,博士生导师,从事泛函分析算子理论方向的研究。
联系人:陈东阳副教授
October