2024泛函分析及空间理论天元暑期研讨班

发布时间:2024-06-30浏览次数:3013

泛函分析及空间理论天元暑期研讨班每年举行一次,由哈尔滨工业大学数学研究院主办,旨在汇聚泛函分析及空间理论领域的专家学者,围绕当前该领域的国际主流问题进行深入探讨,搭建年轻学者交流合作的平台,助力该领域更多年轻学者的快速成长。

2024年度的研讨班将继续围绕非交换分析及相关方向的主流问题展开。本次研讨班将深入学习讨论量子马尔可夫半群及其泛函不等式相关理论,以及在量子自旋系统等物理模型研究中的应用。研讨班同时还将邀请优秀青年学者就非交换Lp空间、调和分析、自由概率、量子信息等理论的前沿进展进行交流合作。此次研讨班受国家自然科学基金委员会数学天元基金的大力资助。现将有关事宜通知如下:


时间:2024年7月15日至8月9日(7月15日报到)

主办:哈尔滨工业大学数学研究院

项目负责人:许全华

联系人:洪桂祥(gxhong【AT】hit.edu.cn)、黄景灏(jinghao.huang【AT】hit.edu.cn)、王斯萌(simeng.wang【AT】hit.edu.cn)、熊枭(xxiong【AT】hit.edu.cn)


注册截止日期:6月9日

注册链接:https://wj.qq.com/s2/14652800/0n76/

(如您已提交注册表但在6月14日前未收到我们回复,请联系我们。)



活动安排(将根据研讨班进度更新)


Working Group on Functional Inequalities in Quantum Spin Systems


Organizers: Li Gao (Wuhan University), Qiang Zeng (Chinese Academy of Sciences) and local organizers.

Abstract: This ia an intensive series of working seminars, where we will discuss the recent progress on noncommutative functional inequalities, especially log-Sobolev inequalities and Poincaré inequalities, and their applications on quantum spin systems. The program consists of three parts:

I. Noncommutative functional inequalities 

II. Classical and quantum spin systems

III. Recent progress on functional inequalities on quantum spin systems

The presentations in the working seminars will be primarily given by volunteer junior participants, directed by the organizers as well as other top experts in the field. 


August 4 - 9 TBA 


August 3, 9:00-12:00, Zhengxin Building 正心楼 23

Quantum spin systems

Speaker:Lingxuan WU(吴凌轩), Central South University


August 1, 14:00-17:00, Zhengxin Building 正心楼 33

Glauber dynamics

Speaker:Qiang ZENG(曾强), Chinese Academy of Sciences


July 30, 14:00-17:00, Zhengxin Building 正心楼 23

Classical spin systems

Speaker:Fan CHANG(常帆), Nankai University


July 28, 14:00-17:00, Zhengxin Building 正心楼 24

Related topics on noncommutative Poincaré and Log-Sobolev inequalities

Speaker:Li GAO(高力), Wuhan University


July 26, 14:00-17:00, Zhengxin Building 正心楼 31

Noncommutative Poincaré inequality and Log-Sobolev inequalities

Speaker:Sijie LUO(罗思捷), Central South University


July 24, 14:00-17:00, Zhengxin Building 正心楼 33

July 22, 14:00-17:00, Zhengxin Building 正心楼 24

July 19, 10:30-12:00, Zhengxin Building 正心楼 24

Noncommutative Lp-spaces, quantum Markov semigroup and quantum relative entropy

Speakers:Hongsen QIU(邱泓森)、Zhixuan LIU(刘至烜), Harbin Institute of Technology


July 19, 9:00-10:30, Zhengxin Building 正心楼 24

July 18, 9:00-12:00, Zhengxin Building 正心楼 24

Log-Sobolev inequalities and related properties

Speaker:Gan YAO(姚淦), Harbin Institute of Technology


July 16, 14:00-17:00, Zhengxin Building 正心楼 24

Markov semigroups and Poincaré inequalities

Speaker:Liang WANG(王亮), Wuhan University



Concentration day: young researchers on noncommutative analysis

July 31,Zhengxin Building 正心楼 23

◆ 9:00-12:00

Schatten properties of Calderon-Zygmund singular integral commutator on stratified Lie groups

Fulin YANG(杨福林),Harbin Institute of Technology

Sharp constants in several inequalities on H-type groups 

Yaojun WANG(王耀军),Fudan University

Proper cocycles, measure equivalence and Lp-Fourier multipliers

Gan YAO(姚淦),Harbin Institute of Technology

Stochastic theta methods for free stochastic differential equations 

Jiaxin WEI(危嘉欣),Central South University


◆ 14:00-17:40

Interpolation of weak Orlicz types and the strong maximal in von Neumann algebras

Jorge PÉREZ GARCÍA,Instituto de Ciencias Matemáticas

Maximal inequalities for noncommutative lacunary discrete spherical averages 

Qi SUN(孙奇),Central South University

Modulated (C,α)-ergodic theorems in noncommutative Lp-spaces

Xin ZHANG(张鑫),Wuhan University

Lunar monoid and the self-absorption property of its Hankel system 

Lijun WANG(王李俊),Wuhan University

The nonlinear estimates on quantum Besov space 

Deyu CHEN(陈德宇),Harbin Institute of Technology



Research talks


July 20, 15:30-16:30, Zhengxin Building 正心楼 21

Uncertainty principle, unique continuation and control

Shanlin HUANG(黄山林),Huazhong University of Science and Technology

Abstract


July 17, 16:30-17:30, Zhengxin Building 正心楼 24

An extension of Hilbert transform to hyperbolic groups

Tao MEI(梅韬),Baylor University

Abstract









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