The research on this project will be carried out by two investigators, the principal investigator Herve Jacquet and his postdoctoral associate Michael Heumos. Jacquet will continue his efforts at generalizing his new trace formula. Results on special values of L-functions, the determination of the residual spectrum of the general linear group and a better understanding of the Weil representation are among the long range goals of the project. Heumos will study models for unitary representations of GLn over a p-adic field. These models generalize the standard Whittaker model and are subgroups of GLn. Examples suggest that perhaps all unitary representations embed uniquely in a unique model. This would provide a new perspective to the study of unitary representations of the p-adic GLn and would have widespread applications. This research is in the area of number theory commonly known as the "Langland's program". It applies advanced notions from many areas, most especially modern analysis, to answer fundamental questions in arithmetic.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8801579
Program Officer
Gary Cornell
Project Start
Project End
Budget Start
1988-07-01
Budget End
1991-12-31
Support Year
Fiscal Year
1988
Total Cost
$181,150
Indirect Cost
Name
Columbia University
Department
Type
DUNS #
City
New York
State
NY
Country
United States
Zip Code
10027