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。我们还将研究权值为1的模形式之间的方程以及对k理论的推广。本课题属于代数k理论的一般范畴。k理论关注向量空间、基、线性映射和一般线性群的思想在标量来自交换环或非交换环的情况下的演变。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.