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

量子化几何包括三个紧密相连的区域：(1)椭圆算子的Zeta函数，它在拓扑学和几何学中被用来描述像挠率这样的非局部数值不变量，在物理学中与泛函积分有关。(2)某些无限维空间和群的几何，它出现在与拓扑空间的代数K-理论有关的代数拓扑学中，与流形的自同构群有关的几何拓扑学中，以及在物理学中作为能够结合新的对称性类型的数学模型，如超对称性。(3)算子代数方法，随着K-理论的出现，它与微分几何和拓扑几何有关。这笔赠款将使一些初级数学家能够参加1991年5月在俄亥俄州立大学举行的关于量子化几何的会议。

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.