Mathematical Sciences: Cyclic Homology

女性研究机会计划拨款将支持Herrero博士重新定位并重新启动她在数学领域的研究计划，该领域已被称为非对易代数拓扑学。目前在这个领域有大量的活动，借鉴了泛函分析以及几何学和拓扑学的思想。中心推力是从拓扑空间到其上的函数的代数，然后到更一般种类的代数，从而使微分几何和代数拓扑学的强大机器能够处理更多种类的问题。

This Research Opportunities for Women planning grant will support Dr. Herrero in reorienting and reactivating her research program in an area of mathematics that has come to be known as noncommutative algebraic topology. There is a great deal of activity currently in this field, which draws on ideas from functional analysis as well as from geometry and topology. The central thrust is to go from topological spaces to algebras of functions on them and then to more general sorts of algebras, thereby putting the powerful machinery of differential geometry and algebraic topology to work on a greater variety of problems.