Mathematical Sciences: Automorphic Representations of       Semisimple Lie Groups
{'Code': '03040103', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez'}
The principal investigator plans to work on problems in                    mathematical analysis concerning the representation theory of                   (semisimple) Lie groups.  A suitable example of the latter is the               group of rotations of a sphere.  Groups like this are important                 because they occur in many areas of mathematics (e.g. geometry,                 differential equations, algebraic number theory, mathematical                   physics) as groups of symmetries.  Representation theory allows                 one to take advantage of symmetries in solving problems.                             More specifically, this project will study representations                 that come from spaces of automorphic forms (invariant analytic                  functions) on the quotient of the group modulo a discrete                       subgroup.  The aim is to obtain explicit formulas for the                       multiplicities of known irreducible representations in these                    automorphic representations, based on algebraic properties of the               discrete group and information about how it sits in the ambient                 Lie group.
{'FirstName': 'Birgit', 'LastName': 'Speh', 'EmailAddress': 'speh@math.cornell.edu', 'StartDate': '05/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Cornell University', 'CityName': 'Ithaca', 'ZipCode': '148502820', 'PhoneNumber': '6072555014', 'StreetAddress': '373 Pine Tree Road', 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY'}
[{'Code': '1262', 'Text': 'MODERN ANALYSIS'}, {'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801248.xml'}