报告人：魏瑜铭 博士后（中国科学院晨兴数学中心）

时间：2026年4月10日 10:30-

地点：理科楼LA104

摘要：Let ΩM₂ denote the moduli space of translation surfaces of genus 2, and let (X,ω) ∈ ΩM₂. We investigate the set of non-ergodic directions on (X,ω). For (X,ω) constructed by slit-gluing two flat tori with holonomy vector (λ, μ) ∈ R², we establish a dichotomy: the Hausdorff dimension of the set of non-ergodic directions is either 0 or 1/2. This dichotomy is completely characterized by a certain Diophantine approximation condition satisfied by the holonomy vector.

邀请人：数学研究中心

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