学术报告报告主题: Measured foliations at infinity of quasi Fuchsian manifolds close the Fuchsian locus
报 告 人: Diptaishik Choudhury
报告时间： 2026 年 6 月 29 日（星期一）上午 10:00-11:30
报告地点： 37 号楼 3A02
邀 请 人: 陈麒羽、钟友良 副教授
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数学学院
2026 年 6 月 22 日
报告摘要：
Given a closed oriented hyperbolic surface S, we consider quasi-Fuchsian manifolds which are homeomorphic to S\times\mathbb{R}. The components of the boundary at infinity of these manifolds carry two holomorphic quadratic differentials defined by the Schwarzian derivatives. The horizontal measured foliations of these differentials are called the measured foliations at infinity. The goal of the talk will be to show that any pair of filling measured foliations with small transverse measure can be realised as the measured foliation at infinity of a quasi-Fuchsian manifold sufficiently close to the Fuchsian locus. We will also show unique realisation when the pair of measured foliations are only 3 pronged. A part of this talk is based on a joint work with V. Markovic.
报告人介绍：
Diptaishik Choudhury is a postdoctoral researcher at Yau Mathematical Sciences Center (YMSC), Tsinghua University. He obtained his Ph. D in 2023 from University of Luxembourg under the supervision of Prof. Jean-Marc Schlenker. His research focuses on hyperbolic geometry, in particular on quasi-Fuchsian manifolds, with related results published in Mathematische Annalen.