U.S.-Chile Collaborative Research: The Representation Theory of the Twisted Groups SL*(2)

0404905库茨科美国-智利奖将为爱荷华州大学的Philip Kutzko博士提供支持，与瓦尔帕莱索天主教大学的Jose Pantoja博士和圣地亚哥智利大学的Jorge Soto Andrade博士合作。 他们将研究扭群SL*（2）的表示理论。SL*（2，F）的Weil表示，其中F是局部紧域，是与数论有密切联系的自然和基本表示。 Pis将研究扭曲群SL*（2，A）的Weil表示的类似物，其中A是具有对合的环。 Soto Andrade博士开创了他们将使用的方法，并且是有限群表示理论的专家。 Pantoja博士和Kutzko博士是p进群表示理论的专家，并将其应用于数论。 一名美国研究生将与这些研究人员以及主办部门的智利学生一起工作。

0404905KutzkoThis U.S.-Chile award will provide support for Dr. Philip Kutzko, University of Iowa, to collaborate with Dr. Jose Pantoja of the Universidad Catolica de Valparaiso, and Dr. Jorge Soto Andrade, the University of Chile in Santiago. They will study the representation theory of the twisted groups SL*(2).The Weil representation of SL*(2,F), where F is a locally compact field, is a natural and fundamental representation with strong connections with number theory. The Pis will study analogues of the Weil representation for the twisted groups SL*(2,A) where A is a ring with involution. Dr. Soto Andrade pioneered the methods they will use, and is an expert in the representation theory of finite groups. Drs. Pantoja and Kutzko are experts in representation theory of p-adic groups with applications to number theory. A U.S. graduate student will work together with these researchers as well as Chilean students in the host department.