英国剑桥大学考切尔.比尔卡尔教授讲代数几何

形状和方程

Shapes and Equations

演讲人/Speaker

考切尔.比尔卡尔教授Professor Caucher Birkar

英国剑桥大学

University of Cambridge

Time/时间

2019年8月15日, 10:00-11:00, 星期四August 15th, 2019, 10:00-11:00, Thursday

Venue/地点

清华大学廖凯原楼107报告厅Tsinghua Law Library-Leo KoGuan Building Lecture Hall 107

关于演讲人

About Speaker

考切尔.比尔卡尔现为英国剑桥大学教授。2018年8月获得了数学界最高奖菲尔兹奖。他的主要研究领域是代数几何(高维双有理几何，极小模型理论)，因在对不同类型的多项式方程进行的分类所作出的杰出贡献而获得2018年的菲尔茨奖。他证明了这类方程的无限多样性可以被分割成有限数量的类别，这在代数几何领域中是重大的突破。他对Fano簇的有限性的证明是他最有影响力的数学成果之一。

Caucher Birkar is a professor at the University of Cambridge in the United Kingdom. His research area is algebraic geometry. In the International Congress of Mathematicians in 2018, Prof. Caucher Birkar was awarded the Fields medal, the highest honor for mathematicians, for his works on boundedness of Fano varieties and the minimal model program.

演讲摘要

Abstract

代数几何是核心数学的一个重要分枝，它和数学的其它分枝以及物理都有重要的联系。该报告将深入浅出地介绍代数几何中的一些基本概念。代数几何将代数和几何融合在一起，它起始于求解多项式方程组，这类问题引导人们去考虑这些方程定义的空间的形状，空间的几何反过来为研究抽象方程的提供了形象的直觉。

This talk is a gentle introduction to some basic notions of algebraic geometry, a central field of mathematics with connections to many other parts of mathematics and also physics, etc. As the name suggests, algebraic geometry is a mixture of algebra and geometry. It all starts with solving polynomial equations but soon leads to considering the shapes of these equations which provides a way for our intuition to guide us through the world of abstract equations.