International Research Fellow Awards: Representation Theory and the Affine Flag Manifold

国际研究员奖：表示理论和仿射旗流形

• 批准号: 9704858
• 负责人: Eric Sommers
• 金额: $ 0.89万
• 依托单位: Fellowships
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9704858&HistoricalAwards=false
• 关键词: International; Research; Fellow; Awards; Representation

9704858 Sommers The 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 support a six-month postdoctoral research visit by Dr. Eric N. Sommers to work with Professor Hamet Seydi of the Universite Cheikh Anta Diop in Dakar, under the sponsorship of Professor Serigne Aliou Lo, Senegal. Support for this award comes from the ANESA Program of the Division of International Programs. This project involves the study of representation theory of algebraic objects with the affine flag manifold. Specifically, the PI is interested in studying representations of the affine Weyl group and the double affine Hecke algebra which can be constructed using geometric techniques involving the affine flag manifold. A problem that has become integral to his work involves determining the structure of the ring of functions on nilpotent orbit closures. As Dr. Sommers works on his project, he will forge new relationships with mathematicians in newly developing African universities. Currently, there are few existing ties among mathematicians in the U.S. and West Africa. ***

9704858 Sommers国际研究员奖励计划使美国科学家和工程师能够在国外进行三到二十四个月的研究。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。该奖项将支持Eric N. Sommers博士在塞内加尔Serigne Aliou Lo教授的赞助下，与达喀尔Cheikh Anta Diop大学的Hamet Seydi教授进行为期六个月的博士后研究访问。该奖项的支持来自国际项目司的ANESA项目。本课题主要研究仿射标志流形中代数对象的表示理论。具体来说，PI感兴趣的是研究仿射Weyl群和双仿射Hecke代数的表示，这些代数可以使用涉及仿射标志流形的几何技术来构造。一个已经成为他工作中不可或缺的问题涉及到确定幂零轨道闭包上的函数环的结构。Sommers博士在进行他的项目时，他将与非洲新兴大学的数学家建立新的关系。目前，美国和西非的数学家之间几乎没有什么联系。＊＊＊