解析函数空间内的希尔伯特模研讨会(Hilbert Modules in Analytic Function Spaces workshop)

2017-05-22 ~ 2017-05-26

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Synopsis and Organizers

The Invariant Subspace Problem is the most well-known unsolved problem in Operator Theory. For normal operators, the spectral decomposition theorem completely describes the structure of their invariant subspaces. For non-normal operators, a fundamental example is the unilateral shift operator S on a Hilbert space. In 1949, Beurling gave a complete description of its invariant using analytic function theory in the setting of classical Hardy space H2(D): a closed subspace M⊂H2(D) is invariant for S if and only if M = θH2(D) for some inner function θ. This settlement relies on additional structures of analytic function space: multiplication, boundedness and boundary values of analytic functions. These structures are not available in general Hilbert spaces. Beurling’s theorem not only suggested a good approach to Invariant Subspace Problem but also became a foundation for many other developments in Operator Theory.

A great amount of work has been done to search for generalizations of Beurling’s idea. Now the theory has grown much beyond the scope of invariant subspace problem. This workshop aims to bring together experts to report and exchange ideas on recent developments.

Organizers


Name University
Ronald Douglas Texas A&M, USA
Kunyu Guo Fudan University, China
Gadadhar Misra Indian Institute of Science
Rongwei Yang SUNY at Albany, USA

Participants

Type English   Name                          Chinese   Name          Gender Employer's Name   in English  Employer's Name in Chinese
Organizer Tao   Jiang  江滔 Male Miami   University, USA 美国迈阿密大学
Organizer Jie   Ma 马杰 Male University   of Science and Technology of China 中国科技大学
Organizer Dhruv   Mubayi
Male University   of Illinois at Chicago, USA 美国伊利诺伊大学芝加哥分校
Speaker Tibor   Andras Szabo
Male Freie   Universität Berlin, Germany 德国自由大学
Participant An Chang 常安 Male Fuzhou   University, China 福州大学
Participant Guantao   Chen 陈冠涛 Male Georgia   State University, USA 美国乔治亚州立大学
Speaker David   Conlon
Male University   of Oxford, UK 英国牛津大学
Speaker Shagnik   Das
Male Freie   Universität Berlin, Germany 德国自由大学
Speaker Louis   DeBiasio
Male Miami   University, USA 美国迈阿密大学
Speaker Andrzej   Dudek
Male Western   Michigan University, USA 美国西密歇根大学
Speaker Zoltan   Furedi
Male Alfréd   Rényi Institute of Mathematics, Hungary 匈牙利数学研究所
Speaker Penny   Haxell (Penelope Evelyn Haxell)
Female University   of Waterloo, Canada 加拿大滑铁卢大学
Speaker Hao   Huang 黄皓 Male Emory   University, USA 美国埃默里大学
Participant Hal   Kierstead (Henry Andrew Kierstead)
Male Arizona   State University, USA 美国亚利桑那州立大学
Speaker Alexandr   Kostochka
Male University   of Illinois at Urbana-Champaign, USA 美国伊利诺伊大学厄巴纳-香槟分校
Speaker Michael   Krivelevich
Male Tel   Aviv University, Israel 以色列特拉维夫大学
Speaker Andrey   Kupavskii
Male Moscow   Institute of Physics and Technology, and Ecole Polytechnique Federale de   Lausanne (Moscow Institute of Physics and Technology, Russia) 莫斯科物理技术研究所
Participant Xueliang   Li 李学良 Male Nankai   University, China 南开大学
Participant Hong   Liu
Male University of Warwick, UK 英国华威大学
Speaker Siu   Lun Allan Lo  盧兆倫 Male University   of Birmingham, UK 英国伯明翰大学
Speaker Po-Shen   Loh 罗博深 Male Carnegie   Mellon University, USA 美国卡内基梅隆大学
Participant Linyuan   Lu  陆临渊 Male University   of South Carolina, USA 美国南卡罗来纳州大学
Participant Theodore   Molla
Male University   of Illinois at Urbana-Champaign, USA 美国伊利诺伊大学香槟分校
Speaker Richard   Mycroft
Male University   of Birmingham, UK 英国伯明翰大学
Speaker Balazs   Patkos 
Male Alfréd   Rényi Institute of Mathematics, Hungary 匈牙利Alfréd Rényi数学研究所
Participant Xing   Peng 彭兴 Male Tianjin   University, China 天津大学
Speaker Yuejian   Peng 彭岳建 Female Hunan   University, China 湖南大学
Speaker Andrzej   Jozef Rucinski
Male Adam   Mickiewicz University in Poznan, Poland 波兰亚当密茨凯维支大学
Speaker Mathias   Schacht
Male University   of Hamburg, Germany 德国汉堡大学
Speaker Asaf   Shapira
Male Tel   Aviv University, Israel 以色列特拉维夫大学
Speaker Jozsef   Solymosi
Male University   of British Columbia, Canada 加拿大不列颠哥伦比亚大学
Participant Maya   Jakobine Stein
Female University   of Chile, Santiago, Chile 智利大学
Speaker Caroline   Amelia Terry
Female University   of Maryland, USA 美国马里兰大学
Participant Prasad   Tetali
Male Georgia Institute   of Technology, USA 美国乔治亚理工学院
Speaker Norihide   Tokushige
Male University   of the Ryukyus, Japan 日本琉球大学
Speaker Andrew   Treglown
Male University   of Birmingham, UK 英国伯明翰大学
Participant Jun   Wang 王军 Male Shanghai   Normal University, China 上海师范大学
Participant Yi   Wang 王毅 Male Dalian University of Technology,   China 大连理工学院
Participant Fan   Wei 韦帆 Female Stanford   University, USA 美国斯坦福大学
Speaker Douglas   West
Male Zhejiang   Normal University, China 浙江师范大学
Participant Hehui   Wu 吴河辉 Male Fudan   University, China 复旦大学
Participant Guiying   Yan

Chinese Academy of Sciences, China 中国科学院
Participant Arthur   L.B. Yang 杨立波 Male Nankai   University, China 南开大学
Speaker Liana   Yepremyan
Female University   of Oxford, UK 英国牛津大学
Participant Xingxing   Yu 郁星星 Male Georgia Institute   of Technology, USA 美国乔治亚理工学院
Participant Xuding   Zhu 朱绪鼎 Male Zhejiang   Normal Univerisity, China 浙江师范大学
Participant Longtu   Yuan 袁龙图 Male Shanghai   Jiaotong University, China 上海交通大学
Participant Xiaopan   Yuan 袁晓璠 Male  University of Science and Technology of   China 中国科学技术大学
Participant Guanghui   Wang 王光辉 Male Shandong   University, China 山东大学
Participant Huajun   Zhang 张华军 Male Zhejiang   Normal University, China 浙江师范大学
Participant Jianfeng   Hou 侯建峰 Male Fuzhou   University, China 福州大学
Participant Hongliang   Lu 鲁红亮 Male Xi`an   Jiaotong University, China 西安交通大学
Participant Suijie   Wang 王岁杰 Male Hunan   University, China  湖南大学
Participant Weihua   He 何伟骅 Male Guangdong   University of Technology, China 广东工业大学
Participant Qizhong   Lin 林启忠 Male Fuzhou   University, China 福州大学

Schedule

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Group Photo

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Hilbert Modules in Analytic Function Spaces Workshop.jpg

Hilbert Modules in Analytic Function Spaces.jpg

Last Announcement

Last Announcement.pdf

Titles and Abstracts

Titles and Abstracts_HMAFS.pdf