U.S.-France Cooperative Research: The Representation Theory of P-adic Groups

9314473库茨科这个为期三年的奖项支持爱荷华大学的菲利普·C·库茨科和巴黎大学奥赛分校的盖伊·亨尼亚特在代数和数论方面的美法合作研究。研究人员将研究一些与p-add群的表示理论有关的问题，以及在朗兰兹计划中的应用。朗兰兹的图论认为，算术的基本对象(椭圆曲线)与表示理论中的基本对象(经典的模形式)是相连的。这位美国研究人员为这一合作带来了p-进群表示理论方面的专业知识。这一点得到了法国调查人员在当地朗兰兹猜想方面著名的专业知识的补充。这个项目将增进我们对表示论的理解，并将作为数论和算术代数几何未来发展的基础。***

9314473 Kutzko This three-year award supports U.S.-France cooperative research in algebra and number theory between Philip C. Kutzko, University of Iowa, and Guy Henniart, University of Paris, Orsay. The investigators will study a number of problems related to representation theory of p-adic groups and applications to Langlands' program. The Langlands' picture theorizes that fundamental objects of arithmetic (elliptic curves) are connected with fundamental objects in representation theory (classical modular forms). The U.S.investigator brings to this collaboration expertise in the representation theory of p-adic groups. This is complemented by the French investigators renown expertise in local Langlands conjecture. This project will advance our understanding of representation theory and will serve as a basis for future advances in number theory and arithmetical algebraic geometry. ***