The Tianyuan Summer Seminar on Functional Analysis and Spaces is held annually by the Institute for Advanced Study in Mathematics of HIT. This series of seminars aims to bring together experienced as well as young researchers in the field of functional analysis and (Banach/operator) space theory, and focus on the current mainstream topics in and around this research domain. The seminar provides an ideal platform for young researchers to exchange new ideas and to step forward collaboration.
This seminar is strongly supported by the Tianyuan Fund for Mathematics of the National Natural Science Foundation of China.
Time: July 15 - August 9, 2024 (with July 15 as arrival day)
Venue: Harbin Institute of Technology
Project leader: Quanhua Xu
Contact: Guixiang Hong (gxhong [AT] hit.edu.cn), Jinghao Huang (jinghao.huang [AT] hit.edu.cn), Simeng Wang (simeng.wang [AT] hit.edu.cn), Xiong Xiao (xxiong [AT] hit.edu.cn)
Registration deadline: June 9
Registration link: https://wj.qq.com/s2/14652800/0n76/
(If you have submitted the registration form but do not receive a reponse from us by June 14, please contact us.)
PLAN（updating）
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
