US-Italy Joint Seminar: Algebraic K-Theory, Commutative Algebra and Algebraic Geometry; Genova, June 1989

该奖项将支持由康奈尔大学的Keith Dennis教授和意大利热那亚大学的Claudio Pedrini教授联合举办的代数k理论研究研讨会。本次研讨会的主题是代数k理论及其与交换代数和代数几何的联系和影响。更具体地说，研讨会将集中在三个方面：将黎曼-洛克定理的思想扩展到具有孤立奇点的变分，在过程中使用交换代数，o环和几何的联系；k理论在算术曲面研究中的应用以及在k理论和代数几何的相互作用中有用的各种上同调复形的研究。拟议的讲习班是及时的，并为两国在该领域的主要贡献者提供了一个机会，使他们能够聚在一起，就将讨论的问题的互补办法交换资料。因此，它应该有助于促进和统一数学的一个重要分支领域的进展。

This award will support a research workshop on algebraic K-theory, jointly organized by Professor Keith Dennis of Cornell University and Professor Claudio Pedrini of the University of Genova, Italy. The subject matter of the proposed workshop is algebraic K-theory and connections with and impact upon commutative algebra and algebraic geometry. More specifically, the workshop will focus on three areas: extending the ideas of the Riemann-Roch theorems to varieties with isolated singularities, using in the process connections with commutative algebra, O-cycles, and geometry; applications of K-theory to the study of arithmetic surfaces; and the study of various cohomology complexes useful in the interplay between K-theory and algebraic geometry. The proposed workshop is timely and affords an opportunity for leading contributors from both countries in the field to get together and exchange information on complementary approaches to the problems to be discussed. Consequently, it should help to advance and unify progress in an important subfield of mathematics.