Mathematical Sciences: Higher Algebraic K-Theory

这个项目是关于代数的研究 K理论首席研究员将核实特别 一般lambda运算的lambda环恒等式， 最近被定义。工作也将在方程上进行 在权重为1的模形式和推广到 K理论 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 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.