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 9, 9:00-12:00, Mingde Building 明德楼 B201-1
Log-Sobolev inequalities for 1D quantum spin chain
August 6, 10:30-12:00, Zhizhi Building 致知楼 14
August 8, 14:00-17:00, Mingde Building 明德楼 B201-1
Quantum Gibbs samplers
Speakers: Zekun YE（叶泽坤）, Nanjing University
Bowen LI（李博文）, City University of Hong Kong
August 5, 14:00-17:00, Zhengxin Building 正心楼 34
August 6, 9:00-10:30, Zhizhi Building 致知楼 14
Quantum spin systems
Speaker：Lingxuan WU（吴凌轩）, Central South University
August 2, 9:00-12:00, Zhengxin Building 正心楼 34
Glauber dynamics
Speaker：Qiang ZENG（曾强）, Chinese Academy of Sciences
August 1, 14:00-17:00, Zhengxin Building 正心楼 34
Classical spin systems
Speaker：Fan CHANG（常帆）, Nankai University
July 28, 14:00-17:00, Zhengxin Building 正心楼 24
July 30, 14:00-17:00, Zhengxin Building 正心楼 34
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 34
◆ 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
August 7, 9:00-10:00, Mingde Building 明德楼 B201-1
Ergodicity and exponential ergodicity of Feller-Markov processes on infinite dimensional Polish spaces
Fuzhou GONG（巩馥洲），Chinese Academy of Sciences
August 7, 10:00-11:00, Mingde Building 明德楼 B201-1
Hessian spectrum at the global minimum of elastic manifold
Qiang ZENG（曾强），Chinese Academy of Sciences
August 5, 10:00-11:00, Zhengxin Building 正心楼 34
Non-archimedean techniques and dynamical degenerations
Chen GONG（龚宸），École Polytechnique
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
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
