Mathematical Sciences: Higher Algebraic K-Theory

这个项目是关于代数K-理论的研究。首席研究员将验证最近定义的一般lambda运算的特殊lambda-环恒等式。还将对权一的模形式之间的方程和K理论的推广进行研究。本课题属于代数K-理论的一般领域。K-理论研究了向量空间、基、线性映射和一般线性群的概念在标量来自交换或非交换环的背景下的演化。在这种情况下，K-理论可以用于代数几何和其他涉及环系数的数学模型。

This project is concerned with research in algebraic K-theory. The principal investigator will verify the special lambda-ring identities for the general lambda operations which have recently been defined. Work will also be done on equations among modular forms of weight one and generalizations to K-theory. This project is in the general area of algebraic K-theory. K-theory concerns the evolution of 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.