报告人： 孙锐然 副教授

报告题目： On the global rigidity of period maps for certain families of varieties

时间： 2026年11月6日（周五）16:00—17:00

地点： 西安交通大学主楼B-203

邀请人： 司飞 助理教授

报告摘要：

Motivated by Farb's question on the global rigidity of period maps and the effective Geometric Shafarevich Conjecture, we introduce the notion of $h$-deformation rigidity: a holomorphic map is $h$-deformation rigid if it is the unique holomorphic map in its homotopy class. Using harmonic mapping theory, we develop a geometric criterion for this property and prove $h$-deformation rigidity for several natural period maps between moduli spaces or Shimura varieties. In particular, we study the global rigidity problem for the period map induced by Kummer construction, and obtain some explicit estimate on $#\mathrm{Hol}_{\mathrm{nc}}(\mathcal A_2,\mathcal F_4)$ via $h$-deformation rigidity and lattice theory. This talk is based on joint work with Cong Ding and Fei Si.

报告人简介：

孙锐然，厦门大学数学副教授。2013年本科毕业于西安交通大学，2021年博士毕业于德国美因茨大学，师从左康教授。研究方向为代数几何，尤其是霍奇理论，已在 J. Eur. Math. Soc，Math. Ann 等国际著名杂志发表多篇论文。