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.
July 16, 14:00-17:00, Zhengxin Building 正心楼 24
Markov semigroups and Poincaré inequalities
Speaker：Liang WANG（王亮）, Wuhan University
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 19, 9:00-12:00, Zhengxin Building 正心楼 24
Noncommutative Lp-spaces, quantum Markov semigroup and quantum relative entropy
Speaker：Hongsen QIU（邱泓森）、Zhixuan LIU（刘至烜）, Harbin Institute of Technology
July 22, 14:00-17:00, Zhengxin Building 正心楼 21
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 21
Related topics on noncommutative Poincaré and Log-Sobolev inequalities
July 26 - August 9 TBA
Research talks
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
