时间：2026年9月18日(星期五)，16:00-17:30
地点：E14-116
主讲人：Marc Hindry，Institut de Mathématiques de Jussieu‑Paris Rive Gauche
报告主题：Arithmetic of algebraic surfaces over finite fields
报告摘要：Classical algebraic geometry studies varieties defined over the complex field, the analogous geometry over finite fields enjoys both similar and different aspects. We will discuss how to measure the complexity of the geometry of an algebraic surfaces (for example, how do curves intersect on it?). A good quantity to estimate this complexity is the discriminant of the intersection pairing on the group of curves modulo deformations (the so-called Néron-Severi group). In general, for example when working over the complex numbers, we have very few tools to estimate this discriminant. In the very interesting case of surfaces over a finite field, we will show that ideas coming from number theory (special values of zeta functions, etc.) lead to interesting results. The talk will be accessible to all mathematicians.
