Mathematical Sciences: Higher Algebraic K-theory

本研究涉及代数K理论。的 首席研究员将研究这种特殊的环 一般外部电源操作的身份。在 此外，他将研究代数之间的联系， K-群与动机上同调群的关系，并对高阶K-群进行了研究。 椭圆曲线的对称幂的周期 这个项目是在代数K理论的一般领域。 K理论关注向量空间思想的演变， 背景的基、线性映射和一般线性群 其中标量来自交换或非交换 戒指在这种情况下，K-理论可以用于代数 几何和其他数学模型，包括系数 从戒指。

This research is concerned with algebraic K-theory. The principal investigator will study the special lambda-ring identities for the general exterior power operations. In addition he will study the connection between the algebraic K-groups and the motivic cohomology groups and work on higher periods of symmetric powers of elliptic curves. This project is in the general area of algebraic K-theory. K-theory concerns the evolution of the ideas of vector space, basis, linear mapping and general linear group to a context where the scalars are from a commutative or noncommutative ring. In this context, K-theory can be utilized in algebraic geometry and other mathematical models involving coefficients from rings.