子流形的几何与拓扑暑期学校将于2026年6月22日至7月3日在福建师范大学举办。本次暑期学校将开设2门课程，共计36学时；同时在课程期间，将安排一些专题学术报告。
一、主办单位
福建师范大学数学与统计学院、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、福建省几何虚拟教研室
二、学术委员会
张伟平（陈省身数学研究所）、唐梓洲（陈省身数学研究所）、李海中（清华大学）、王长平（福建师范大学）
三、组织委员会
马翔（北京大学）、王鹏（福建师范大学）、谢振肖（北京航空航天大学）
四、授课教师
Quo-Shin Chi（University of Washington in St. Louis）
Charles Ouyang（University of Washingtonin St. Louis）
五、课程信息
1、Classification of isoparametric hypersurfaces with four principal curvatures
Quo-Shin Chi（University of Washington in St. Louis）
There will be ten lectures, I will spell out in as much detail as possible the classification of isoparametric hypersurfaces with four principal curvatures in the sphere. It is based on the book I am currently writing. The first week will begin with a brief historical review, covering Cartan’s and Münzner’s work, as well as the topological constraints on the multiplicities of the principal curvatures, followed by the unit normal bundle geometry of focal manifolds, the expansion formula of Ozeki and Takeuchi for the Cartan-Münzner polynomial, and the family of Ferus-Karcher-Münzner examples together with their geometric characterization via Clifford frames. The second week will turn to the ideal theory in commutative algebra and Serre’s criterion for prime ideals, and then proceed to the classification in the case where the multiplicity pair (m+, m-) satisfies m-≥2m+-1, concluding with the classification of the four exceptional cases.
2、Higgs Bundles and Surface Geometry
Charles Ouyang（University of Washingtonin St. Louis）
This will be a summer course on Higgs bundles and their applications to surface geometry. We will begin by going over the Abelian version of the non-Abelian Hodge correspondence, which will involve classical Riemann surface theory. Then we will discuss a setting of the non-Abelian Hodge correspondence, which will involve harmonic maps and classical Teichmüller theory. Finally, we will move to higher rank examples, where we will discuss topics such as minimal surfaces in symmetric spaces and affine spheres along with their applications, such as to SYZ geometry.
六、时间安排
6月21日报到，6月22日- 7月3日上课，7月4日离开。
七、招生对象
青年教师、博士后、研究生，招生人数: 30人。本次暑期学校无需缴纳学费，学员入住指定酒店，有需要提供免费住宿的学员可以提出申请，组委会将根据申请情况提供资助。往返交通费请自理，请自行购买保险。
八、报名方式
请扫描下方二维码报名，截止日期为2026年5月31日。录取结果将于2026年6月5日前通过邮件的方式通知学员。
九、联系人
王 鹏，邮箱：pengwang@fjnu.edu.cn,
谢振肖，邮箱：xiezhenxiao@buaa.edu.cn