2023年泛函分析及空间理论天元暑期研讨班

发布时间:2023-04-27浏览次数:3231

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。

2023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Cowling、Haagerup、Lafforgue、de la Salle等优秀数学家关于非交换Fourier-Schur乘子及其同算子空间、W*超刚性问题的关联工作,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:2023年7月10日至8月15日(7月10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)


活动安排(将根据研讨班进度更新)


Working Group on noncommutative harmonic analysis on semisimple Lie groups

- representation theory and Fourier-Schur multipliers


07/11, 07/13, 07/16, 07/19,07/21,14:30-17:30,正心楼 226 

Lie groups and representation theory

主讲:Hua WANG(王华),IMPAN 


07/23,07/25,14:30-17:30,正心楼 226 

07/27,8:30-9:30,正心楼 21

Representation theory and K-bi-invariant functions on simple Lie groups of real rank 1

主讲:Samya Kumar Ray,Indian Statistical Institute Kolkata


07/27,9:30-11:30,正心楼 21 

07/29,15:00-17:30,正心楼 21

07/31,14:30-17:30,正心楼 21

Introduction to completely bounded Fourier multipliers on group von Neumann algebras

主讲:Dejian ZHOU(周德俭)、Sijie LUO(罗思捷)、Lian WU(吴恋),Central South University


08/02,08/04,14:30-17:30,正心楼 21

08/06,14:30-16:00,正心楼 21

Weak amenability for SO(1,n)

主讲:Runlian XIA(夏润莲),University of Glasgow

    Xumin WANG(汪旭敏),Seoul National University


08/06,16:00-17:30,正心楼 21

08/08,14:30-17:30,正心楼 21

Weak amenability for SU(1,n) and Sp(1,n): harmonic analysis on the Heisenberg part

主讲:Liang WANG(王亮),Wuhan University 


08/10,08/12,14:30-17:30,正心楼 21

Weak amenability for SU(1,n) and Sp(1,n): harmonic analysis on the parabolic part

主讲:Yifan PU(蒲逸凡),Wuhan University

    Zhipeng SONG(宋智鹏),Université de Franche-Comté


08/14,14:30-17:30,正心楼 21

W*-superrigidity for lattices in Sp(1,n)

主讲:Fulin YANG(杨福林),Gan YAO(姚淦),Harbin Institute of Technology



Concentration day: young researchers on noncommutative analysis I

07/17,正心楼 226

Program and abstract


◆ 9:00-11:30

A local smoothing estimate on quantum Euclidean space

Liang WANG(王亮),Wuhan University

Recent progress on Schatten classes and Riesz transform commutators 

Zhijie FAN(范智杰),Guangzhou University

Noncommutative von Bahr-Esseen inequality and a noncommutative nonindependent law of large numbers

Enli CHEN(陈恩立),Wuhan University


◆ 14:30-17:00

Weighted endpoint estimates of operator-valued singular integrals

Wenfei FAN(范雯霏),Central South University

Cesàro summability of noncommutative Vilenkin-Fourier series 

Tiantian ZHAO(赵甜甜),Central South University

Noncommutative weak-L and BMO 

Yahui ZUO(左雅慧),Central South University



Concentration day: free probability

07/28,正心楼 21

Program and abstract

9:30

Spectrum of Laplacian matrix associated with large random elliptic matrices

Zhi YIN(尹智),Central South University

11:00

The spectrum of local random Hamiltonians

Liang ZHAO(赵亮),Harbin Institute of Technology

14:30

Free probability and heat flow on GAF

Ching Wei HO(何政卫),Academia Sinica

16:00

Rank inequality done by free probability

Sheng YIN(尹晟),Baylor University


Concentration day: young researchers on noncommutative analysis II

08/03,正心楼 21

Program and abstract


◆ 9:00-11:30

Some Recent Progress of Operator-Valued Hardy Spaces on Space of Homogeneous Type

Wenhua WANG(王文华),Wuhan University

Campanato spaces via semigroups on semifinite von Neumann algebras. 

Yuanyuan JING(景圆圆),Wuhan University

Noncommutative discrete spherical maximal inequalities

Cheng CHEN(陈诚),Sun Yat-sen University


◆ 14:30-17:30

Boole and Bohr meet Pauli

Haonan ZHANG(张浩楠),University of South Carolina

John-Nirenberg inequalities for noncommutative column BMO and Lipschitz martingales 

Congbian MA(马聪变),Xinxiang University


Schatten class and principal symbol on Carnot groups 

Fulin YANG(杨福林),Harbin Institute of Technology



Seminars


07/29,14:00-14:50,正心楼 21

An estimate for spherical functions on SL(3,R)

Xiaocheng LI(李晓承),Peking University

Abstract


08/05,14:30-16:00,正心楼 21

Analytic subalgebras of weighted Fourier algebras and complexification of Lie groups

Hun Hee LEE,Seoul National University

Abstract


08/05,16:00-17:30,正心楼 21

Dispersive equations on symmetric and locally symmetric spaces

Hong-Wei ZHANG(张鸿伟),Paderborn University

Abstract


08/07,14:30-17:30,正心楼 21

Matrix concentration inequalities and free probability, after Bandeira, Boedihardjo and van Handel

Lingxuan WU(吴凌轩),Central South University 


08/09,15:00-16:00,正心楼 21

Representations of Commutators on Schatten p-classes (1<p<∞)

Zhizheng YU(余志拯),Xiamen University

Abstract



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