Mathematical Sciences: Connections Between Geometry, Topology, and K-Theory

这个研究项目涉及同伦理论， 它是如何影响到几个相关领域的。 弗里德兰德的作品 代数几何和代数拓扑的接口。 他 调查涉及代数群，代数几何和 代数k理论 共同的主题是利用 代数几何和同伦理论之间的关系。 Priddy目前的兴趣是同伦的新兴领域 一种使用模表示理论和不变量的理论 理论 空间的稳定分裂是 这样的应用。 Mahowald的工作主要是在稳定的 同伦理论以及球体的不稳定同伦。

This research project is concerned with homotopy theory and how it impinges on several related areas. Friedlander works on the interface of algebraic geometry and algebraic topology. His investigations involve algebraic groups, algebraic geometry and algebraic k-theory. The common theme is the exploitation of relationships between algebraic geometry and homotopy theory. Priddy's current interest is in the emerging area of homotopy theory which uses modular representation theory and invariant theory. Stable splittings of spaces are an important example of such applications. Mahowald's work is primarily in stable homotopy theory and also in the unstable homotopy of spheres.