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。
2025年度的研讨班将继续围绕现代泛函分析及相关方向的主流问题展开。本次研讨班将围绕度量空间几何理论，深入学习、探讨其与调和分析、概率论、计算科学的交叉研究。研讨班同时还将邀请资深专家及优秀青年学者就上述课题及非交换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：2025年7月21日至8月17日（7月20日抵会）
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）、汪旭敏（xumin.wang【AT】hit.edu.cn)
注册截止日期：2025年6月8日（周日）
注册链接：https://wj.qq.com/s2/22204032/bc12/
（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 Analysis and Geometry on Metric Spaces
Abstract: The goal of this seminar is to understand the geometry of Banach spaces using tools from metric geometry and analysis, following the ideas of Ribe’s program. The Ribe program originates from a remarkable rigidity theorem by Martijn Ribe in 1976, which states that uniform homeomorphisms between Banach spaces preserve their local linear structure. This result sparked a fundamental idea: classical local properties of Banach spaces, such as type, cotype, and superreflexivity, should have purely metric characterizations independent of linearity. This surprising result led mathematicians to ask: can we describe Banach space geometry using only distances, without relying on the linear structure? The goal of the Ribe program is to systematically develop such metric descriptions and extend the tools of linear functional analysis to the nonlinear, metric setting. The program consists of five parts:
I. Ribe’s Program and Enflo’s Conjecture
II. Bourgain’s Discretization Theorem, and Metric Embeddings
III. Metric Xp Inequalities and Discrete Riesz Transforms
IV. Noncommutative Xp Inequalities and Applications on Group von Neumann Algebras
V Supplementary Topics
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 21, 14:00-16:00, Activity Center, 活动中心 327
July 23, 14:00-15:30, Zhengxin Building, 正心楼 13
Introduction of the Ribe Program, Enflo Type and Enflo’s Conjecture
Speaker: Li GAO (高力), Wuhan University
July 23, 16:00-17:30, Zhengxin Building, 正心楼 13
July 25, 14:00-17:30, Zhengxin Building, 正心楼 13
Metric cotype
Speakers: Zijie JIANG (蒋子杰), Central South University
Yinghua SUN (孙英华), Xiamen University
Research talks
July 21, 14:00-16:00, Activity Center, 活动中心 327
Lifting properties for C* -algebras
Gilles Pisier, Sorbonne University and Texas A&M University
