International Research Fellowship Program: Modularity of Some Geometric Galois Recommendations

[10731 . 31]萨维特国际研究员奖励计划使美国科学家和工程师能够到国外进行3至24个月的研究。该计划的奖励为联合研究提供了机会，并利用独特或互补的设施、专业知识和国外的实验条件。该奖项将为David L. Savitt博士提供为期12个月的支持，让他与法国奥赛第巴黎大学的Christophe Breuil博士一起研究一些几何伽罗瓦建议的模块化。该项目由数学和物理科学理事会多学科活动办公室共同资助。本研究是一个研究算术代数几何基本问题的项目的一部分：什么时候可以在几何中找到有理数的绝对伽罗瓦群的表示？例如，这个方向的结果是怀尔斯证明费马大定理的关键。巴黎南方大学的算术几何小组是世界上最大和最活跃的小组之一。除了Breuil，奥赛学院的教师还包括Laurent Clozel、Jean-Louis Colliot-Thelene、Jean-Marc Fontaine、Guy Henniart、Luc Illusie、Laurent Lafforgue、Gerard Laumon、Bernadette Perrin-Riou、Michel Raynaud和Lucien Szpiro。＊＊＊

0107331SavittThe International Research Fellow Awards Program enables U.S. scientists and engineers to conduct three to twenty-four months of research abroad. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad.This award will provide twelve months of support to Dr. David L. Savitt to work with Dr. Christophe Breuil at the Universite Paris-Sud in Orsay, France on the modularity of some geometric Galois recommendations. This project is co-funded by the Math and Physical Science Directorate's Office of Multidisciplinary Activities.This research is part of a program to investigate the following fundamental question of arithmetic algebraic geometry: when can a representation of the absolute Galois group of the rational numbers be found in geometry? For example, results in this direction were the crux of Wiles's proof of Fermat's Last Theorem.The arithmetic geometry group at Paris-Sud is one of the largest and most active in the world. In addition to Breuil, the faculty at Orsay includes, among others, Laurent Clozel, Jean-Louis Colliot-Thelene, Jean-Marc Fontaine, Guy Henniart, Luc Illusie, Laurent Lafforgue, Gerard Laumon, Bernadette Perrin-Riou, Michel Raynaud, and Lucien Szpiro. ***