时间：2026年11月12日（周四）15:00-16:00
地点：E14-215
报告人：西湖大学 张世宇
报告题目：A volume comparison lemma and Kobayashi's conjecture
报告摘要：We discuss the recent proof of Kobayashi's conjecture by OpenAI, whose key ingredient is a volume comparison result. We formulate this result in the following more general and natural setting. Let (X, ω) be a compact Kähler manifold of dimension n with Ric(ω) ≥ −ω At any point x where the Kobayashi–Royden indicatrix I_x is bounded, ω^n is bounded below by the volume form of the complete Kähler–Einstein metric at the origin on every bounded pseudoconvex domain in T_{X,x} containing I_x.
