Extremal combinatorics meets finite geometry

该项目旨在研究两个数学领域，极值组合学和有限几何的交叉点上的重要开放问题。该项目将重点关注离散数学领域，该领域一直是数学和计算机科学最近一些发展的中心。该项目提出了从代数、几何和计算机科学中衍生出来的新方法，以解决有限几何中的重要极值问题。该项目将为极值组合学和有限几何中的一些开放问题提供答案。此外，将开发出具有跨学科影响的新方法。

This project aims to investigate important open problems lying at the intersection of two areas of mathematics, extremal combinatorics and finite geometry. The project will focus on the area of discrete mathematics, which has been at the centre of some of recent developments in mathematics and computer science. This project proposes new methods, derived from algebra, geometry and computer science, to tackle important extremal problems in finite geometry. The project will provide answers to a number of open problems in extremal combinatorics and finite geometry. Moreover, new methods will be developed which will have an interdisciplinary impact.