Elliptic Schubert Calculus

我们有能力成为椭圆表示理论新兴学科的世界领先中心之一。该建议描述了我们建立一个跨多学科领域的所有不同方面的有凝聚力的研究计划的计划，该计划将椭圆上同调应用于几何表示理论，枚举几何，可积系统和奇异变种的不变量。 我们的数学多样化的团队都发挥了关键作用，在最近的事态发展，围绕该领域，并在非常不同的能力。这是一个独特的时刻，我们有机会将我们的个人研究计划转变为一个有凝聚力和强大的合作， 国际存在。

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.