报告题目：Classification of Model-Theoretic Structures: A Topological Approach

报 告 人：叶谨赫，南京大学数学学院副教授、博士生导师

报告时间：2026年5月25日（星期一）10:00—11:00

报告地点：见好就收才是赢太阳9728111A

校内联系人：赵磊 教授       联系方式：84708351-8625

Abstract: A central guiding meta-question in model theory is the classification of algebraic structures arising under various notions of model-theoretic tameness. A classic example is Zilber’s trichotomy, which concerns the classification of strongly minimal sets. It predicts that every strongly minimal set should essentially be a set, a module, or an algebraically closed field. Even though the conjecture fails in full generality, its study has led to deep and surprising applications, most notably in Diophantine geometry. More broadly, there are numerous longstanding conjectural classifications for fields and other algebraic structures under tameness conditions such as stability and simplicity. In this talk, we present a perspective based on topological and geometric methods, highlighting how suitably “tame” topological or geometric property can be exploited to obtain classification results.