报告题目： P-divisible rigid analytic groups and uniformization of abeloid varieties.

报 告 人：Khai-Hoan Nguyen-Dang 博士后（中科院晨兴数学中心）

报告时间：2026年10月16日（星期五）14:00-15:00

报告地点：数学科学学院114（小报告厅）  

校内联系人：赵路明 副教授   联系方式：84708354-8604

报告摘要： Abeloid varieties are proper, smooth, connected rigid analytic groups over a p-adic field, generalizing abelian varieties beyond the algebraic setting. This talk concerns their conjugate uniformization, which relates rational points to the Tate module and Lie algebra through Hodge–Tate theory. I will begin with the motivation from p-adic uniformization and introduce Fargues’ theory of p-divisible rigid analytic groups. I will then explain the construction of a functorial integration map for dualizable p-divisible rigid analytic groups and discuss the arithmetic descriptions of its kernel and image. Applied to abeloid varieties, this extends conjugate uniformization from abelian varieties with good reduction to possibly (nonalgebraic) abeloid varieties with arbitrary reduction type. This is joint work with Xu Shen and Heer Zhao.

报告人简介：Khai-Hoan Nguyen-Dang is a postdoctoral researcher at the Morningside Center of Mathematics, Chinese Academy of Sciences, in Beijing mentored by Professor Xu Shen. He received his Ph.D. in Mathematics from the University of Padova, Italy, in 2024, under the supervision of Adrian Iovita and Nicola Mazzari. Previously, he completed the ALGANT master's programme at Leiden University and the University of Padova. His research interests lie primarily in arithmetic geometry and number theory, particularly abelian varieties and Galois representations. He is also interested in convex geometry and L-function.