时间：2025年6月6日（周五）16:00-17:00
地点：E10-212 & ZOOM
ZOOM ID: 941 7323 5553
PASSCODE: 425562
主讲人：Lizhen Ji, University of Michigan
主讲人简介：Lizhen Ji was born in Wenzhou and studied at the former Hangzhou University before continuing his studies at UC San Diego in the USA. After obtaining a Ph.D. in mathematics from Northeastern University, he joined MIT as a Moore Instructor. Following a year at the Institute for Advanced Study in Princeton, he moved to the University of Michigan.
His research began with the spectral theory of Riemann surfaces and later expanded to the compactification of symmetric and locally symmetric spaces, the Novikov conjecture in geometric topology, and the analogy between arithmetic subgroups of semisimple Lie groups and mapping class groups of surfaces. More recently, he has also developed an interest in the history of mathematics. He has received several honors, including the Sloan Research Fellowship.
讲座主题：The Uniformization Theorem: History, Proofs, and Lasting Impacts
讲座摘要: 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.
