Elliptic Schubert Calculus

椭圆舒伯特微积分

• 批准号: DP210103081
• 负责人: Dr Nora Ganter
• 金额: $ 28.14万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2021
• 资助国家: 澳大利亚
• 起止时间: 2021-06-30 至 2024-06-29
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP210103081
• 关键词: Elliptic; Schubert; Calculus

We are well placed to become one of the world's leading centers in the emerging discipline of elliptic representation theory. This proposal describes our plan of establishing a cohesive research program spanning all the different aspects of this multi-disciplinary field, which applies elliptic cohomology to geometric representation theory, enumerative geometry, integrable systems and invariants of singular varieties. Our mathematically diverse team all have played key roles in the recent developments surrounding the field, and in very different capacities. This is a unique moment, where we have the chance to transform our individual research programs into a cohesive and powerful collaboration with a strong international presence.

我们完全有能力成为椭圆表示理论新兴学科的世界领先中心之一。该提案描述了我们建立一个涵盖该多学科领域所有不同方面的凝聚力研究计划的计划，该计划将椭圆上同调应用于几何表示理论、枚举几何、可积系统和奇异簇不变量。 我们的数学多元化团队都在该领域的最新发展中发挥了关键作用，但能力却截然不同。这是一个独特的时刻，我们有机会将我们的个人研究项目转变为与强大的、有凝聚力的、强有力的合作。 国际存在。