Hilbert's 15th problem: Rigorous foundation of Schubert's enumerative calculus

主讲人 Speaker:段海豹(中科院研究员)
时间 Time: 周五 16:00-17:00,2021 - 9 - 24
地点 Venue:一教201

摘要 Abstract

Hilbert's 15th problem called for a rigorous foundation of Schubert's enumerative calculus, where the main focus and long standing part is Schubert's problem of characteristics. In the course to secure the foundation of algebraic geometry Van der Waerden and Andre Weil attributed the problem to the determination of the Chow rings of flag manifolds. In this talk I will give an overview of the background, content, and resolution of Hilbert‘s 15th problem. Our main results are a formula solving Schubert's problem of characteristics, and a system description computing the Chow rings of flag manifolds. We illustrate the effectiveness of our formula and algorithm via explicit examples.

简介 Description



Zoom Meeting ID:849 963 1368