Extremal combinatorics meets finite geometry

极值组合满足有限几何

• 批准号: DE190100666
• 负责人: Dr Anurag Bishnoi
• 金额: $ 6.09万
• 依托单位: The University of Western Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-11-25 至 2020-09-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE190100666
• 关键词: Extremal; combinatorics; meets; finite; geometry

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.

这个项目的目的是调查重要的开放问题躺在两个领域的数学，极值组合和有限几何的交叉点。该项目将侧重于离散数学领域，该领域一直是数学和计算机科学最近发展的中心。这个项目提出了新的方法，来自代数，几何和计算机科学，以解决有限几何中的重要极值问题。该项目将提供答案的极值组合学和有限几何的一些开放的问题。此外，还将开发具有跨学科影响的新方法。