Mathematical Sciences: Arithmetic Algebraic Geometry - Sundance 1992

算术代数几何是一个迅速发展的数学领域。这个项目将集中于由模形式和/或代数变种的上同调引起的伽罗瓦表示。特别地，我们将讨论两个主题：(1)Serre关于模形式和伽罗瓦表示的猜想；(2)由伽罗瓦对代数变体上同调的作用引起的主题。这个项目将支持1992年5月13日至19日在犹他州圣丹斯举行的算术代数几何讲习班。讲习班将集中讨论由模形式和/或代数变种的上同调引起的伽罗瓦表示。会议的目的是强调当前的研究，关注悬而未决的问题，并促进新的工作。

Arithmetic algebraic geometry is a rapidly growing area of mathematics. This project will focus on Galois representations arising from modular forms and/or the cohomology of algebraic varieties. In particular, two main themes will be addressed: (1) Serre's conjectures on modular forms and Galois representations and (2) topics arising from the Galois action on the cohomology of algebraic varieties. This project will support a workshop in Arithmetic Algebraic Geometry to be held at Sundance, Utah from May 13-19, 1992. The workshop will concentrate on Galois representations arising from modular forms and/or the cohomology of algebraic varieties. The conference is designed to emphasize current research, to focus on open questions, and to facilitate new work.