Mathematical Sciences: International Conference in QuantizedGeometry, Columbus, Ohio, May 28-31, 1991

量化几何包括三个紧密相连的 （1）椭圆算子的Zeta函数，它在 拓扑学和几何学被用来描述非局部数值 不变量，如挠率，在物理学中与泛函相关 积分 (2)某种无限维的几何学 空间和群，这已经出现在代数拓扑， 与拓扑空间的代数K-理论有关， 与自同构群有关的几何拓扑 在物理学中作为数学模型， 融合了新的对称性，比如超对称性 (3)算子代数方法，随着K- 理论，成为相关的微分几何和拓扑几何。 这笔赠款将使一些初级数学家， 参加一个专门讨论量子几何的会议， 1991年5月，俄亥俄州州立大学。

Quantized Geometry comprises three closely interconnected areas: (1) The Zeta functions of elliptic operators, which in topology and geometry are used to describe non-local numerical invariants like torsion, and in physics are related to functional integrals. (2) The geometry of certain infinite dimensional spaces and groups, which have appeared in algebraic topology in connection with the algebraic K-theory of topological spaces, in geometric topology in connection with the groups of automorphisms of manifolds, and in physics as mathematical models capable of incorporating new types of symmetry, like supersymmetry. (3) Operator algebraic methods which, with the advent of K- theory, became relevant to differential and topological geometry. This grant will enable a number of junior mathematicians to participate in a conference devoted to Quantized Geometry at the Ohio State University in May, 1991.