时间: 2026年10月26日（周一）15:00-16:00
地点: E14-301
报告人：理论科学研究院，Paolo Dolce
报告题目：Kobayashi length bounds on bordered surfaces and generalized integral points on abelian varieties
报告摘要：We prove square-root bounds for the Kobayashi length of loops avoiding finitely many points on a bordered Riemann surface. The proof combines local metric estimates with an averaging argument. Following the method of Parshin and Phung, we apply these bounds to generalized integral points on abelian varieties over complex function fields, obtaining improved counting estimates and linear height bounds. Under suitable geometric hypotheses on the divisor, this establishes a case of the geometric Lang–Vojta conjecture in its fixed-base, fixed-model form.
