Mathematical Sciences: Characteristic Cycles of Schubert Varieties and Other Singular Spaces

[404366]傅研究的范围是用特征环的方法来分析奇异空间类的几何结构。这些技术源于复杂几何和表示理论。该研究的另一个组成部分涉及黎曼几何中奇异度量的曲率度量。这项研究有潜在的应用到数学的其他分支，包括代数几何，数论，并可能有应用到数学物理。＊＊＊

9404366 Fu The scope of research is concerned with the methods of characteristic cycles to analyse the geometric structures of classes of singular spaces. The techniques arise from complex geometry and representation theory. Another component of the research involves curvature measures of singular metrics in Riemannian geometry. The research has potential applications to other branches of mathematics including algebraic geometry, number theory and may have applications to mathematical physics. ***