报告时间：7月2日周三上午10:00-11:00
报告地点：数学楼102报告厅
报告人： 季理真
主持人：刘钢
报告人简介：
季理真，1984年获杭州大学理学学士学位，1987年在加州大学圣地亚哥分校获得理学硕士学位，1991年在美国东北大学获得理学博士学位。先后在美国麻省理工学院，普林斯顿高等研究院从事研究工作，1995年至今任教于美国密歇根大学数学系。出版学术著作40余部，并任多个国际学术期刊的主编、编委，以及多部系列丛书的主编。曾组织过多场国际大型学术会议，先后获得P. Sloan研究奖，美国自然科学基金会数学科学博士后奖，晨兴数学银奖，西蒙斯奖。季理真教授的研究领域主要是几何、拓扑及数论的交叉融合。他在局部对称空间的紧化、黎曼面的谱、迹公式等方面取得了国际一流的原始创新成就，并在国际一流数学杂志上发表了大量学术论文。他解决了Borel猜想、Siegel猜想等几个长期悬而未决的国际著名猜想，还对另外几个著名的猜想做出了重要贡献，其中包括Novikov猜想。近年来，对近现代数学史产生了浓厚的兴趣。
报告摘要：
The uniformization theorem is one of the most significant results in mathematics, with a deceptively simple statement familiar to many: every simply connected Riemann surface is biholomorphic to one of three standard surfaces—the Riemann sphere, the complex plane, or the open unit disk. This theorem has profound extensions to higher dimensions, including Thurston’s geometrization program and, notably, the resolution of the Poincaré conjecture. It is no wonder that this theorem is one of the most important theorems, if not the most important theorem, in the last 150 years. However, its rich history and far-reaching impacts are often underappreciated. For example, the initial formulations and attempted proofs by Klein and Poincaré using the method of continuity introduced many original ideas that have not been fully explored. Later, Teichmüller’s innovative use of the method of continuity played a crucial role in his revolutionary work on Teichmüller space, profoundly influencing the study of moduli spaces of Riemann surfaces. Yet, this deep historical and conceptual connection is frequently overlooked. In this talk, I will trace the historical development of the uniformization theorem, from its early formulations to its lasting influence across mathematics. I will explore its connections to seemingly unrelated results and modern mathematical areas, particularly in Teichmüller theory and moduli spaces. Through this exploration, I aim to shed light on the theorem’s profound influence, inspire new perspectives on its unifying role in contemporary mathematics.