Conference on the Representation Theory of p-adic Groups

为将于2006年10月19日至22日在爱荷华大学举行的p-adic群体代表性理论会议提供支持。DavidManderscheid教授是此项资助的首席研究员，同时也是爱荷华大学数学系的系主任，他是本次会议的当地组织者。会议的科学委员会由Colin Bushnell教授（伦敦大学国王学院）、Guy Henniart教授（巴黎奥赛大学）、freydoon Shahidi教授（普渡大学）和Manderscheid教授组成。会议将集中讨论算术性质的p进群的表示理论的最新发展。会议将特别关注布什内尔和库茨科的类型和覆盖理论的使用。这次会议召开得特别及时，因为对p进群的表示理论的研究已被证明对通过所谓的朗兰兹纲领解决数论中的重要问题至关重要。这些结果包括费马大定理的证明，以及最近对一般线性群的局部朗朗兹猜想的证明。在奖励出席会议的支持方面，将优先考虑研究生和最近的博士学位。大约有70位数学家将参加这次会议。这次会议将吸引国内和国际的关注，它将有助于制定该领域的研究议程。

Support is being provided for a conference on the representationtheory of p-adic groups that will take place at the University of Iowafrom October 19, 2006 to October, 22, 2006. Professor DavidManderscheid, Principal Investigator on this grant and Chair of theDepartment of Mathematics at the University of Iowa, is the localorganizer for the conference. The Scientific Committee for theconference consists of Prof. Colin Bushnell (Kings College, Universityof London), Prof. Guy Henniart (University of Paris - Orsay), Prof.Freydoon Shahidi (Purdue University) and Prof. Manderscheid. Theconference will focus on the recent developments in the representationtheory of p-adic groups that are arithmetic in nature. In particularthe conference will focus on the use of the theory of types and coversdue to Bushnell and Kutzko.The conference is particularly timely as the study of therepresentation theory of p-adic groups has proved critical in thesolution of important problems in number theory through what is calledthe Langlands Program. These results included the proof of Fermat'sLast Theorem and, more recently, the proof of the Local LanglandsConjecture for the general linear group. In awarding support forconference attendance, preference will be given to graduate studentsand recent Ph.D.'s. Approximately seventy mathematicians will attendthe conference. The conference will attract national and internationalattention and it will help set the research agenda for the field.