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

这项美国-智利奖将支持爱荷华大学的菲利普·库茨科博士与瓦尔帕莱索天主教大学的何塞·潘托哈博士和圣地亚哥智利大学的豪尔赫·索托·安德拉德博士合作。他们将研究扭曲群SL*(2)的表示理论。SL*（2，F）的Weil表示是与数论紧密联系的自然基本表示，其中F是一个局部紧域。Pis将研究扭曲群SL*（2，A）的Weil表示的类似物，其中A是一个对合环。Soto Andrade博士开创了他们将使用的方法，他是有限群表示理论方面的专家。Drs。Pantoja和Kutzko是研究p进群的表示理论及其在数论中的应用的专家。一名美国研究生将与这些研究人员以及接待系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.