U.S.-Chile Cooperative Research: Representation Theory of p-adic Groups

这个美洲项目奖将支持爱荷华大学的Philip Kutzko博士和智利大学的Jorge Soto Andrade博士在Langlands项目的地方方面的合作。研究人员将通过紧致归纳，探索有限域上群的对应和局部域上群的对应之间的联系，试图确定这些对应在多大程度上是朗兰兹意义上的泛函。这种功能的确定具有重要的数论意义。拟议的工作可能会导致对朗兰兹计划的地方方面的详细分析，经验表明，这是在这一领域取得真正突破所必需的。此外，通过与智利的不同小组合作，这项合作将扩大和加强在一个重要的数学领域的联合工作。* * *

9416552 Kutzko This Americas Program award will support a collaboration between Dr. Philip Kutzko, University of Iowa, and Dr. Jorge Soto Andrade, Universidad de Chile, on the local aspects of the Langlands program. The researchers will explore the connection, via compact induction, between theta correspondences for groups over finite fields and theta correspondences for groups over local fields to try to determine to what extent these correspondences are functorial in the sense of Langlands. Determination of such functoriality is of substantial number-theoretic interest. The proposed work is likely to lead to a detailed analysis of the local aspects of the Langlands program, which experience has shown is necessary for a real breakthrough in this area. In addition, by working with the different groups in Chile, the collaboration will broaden and strengthen joint work in an important mathematical area. ***