Mathematical Sciences: Geometric Analysis and RepresentationTheory
{'Code': '03040108', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'James Glazebrook'}
Sigurdur Helgason will continue his research into the range                and kernel of the Radon transform associated with a double                      fibration of a homogeneous space. A prototypical question here                  involves determining a function on a sphere from knowledge of its               averages over all great subspheres of a given dimension. Helgason               will be joined by David Vogan who will investigate unipotent                    unitary representations of real semisimple groups.                                   It is relatively easy to see from dimensionality                           considerations that certain Radon transforms are not injective,                 this typically happens in the case of codimension at least two.                 Whereas in the linear or codimension one case the transform is                  injective. Helgason's work is directed towards a description of                 the kernel in the former case and towards inversion formulas in                 the latter situation. One of Vogan's goals is to find a precise                 definition of unipotent representation using geometric                          techniques. This will involve an attempt to relate two previously               investigated approaches.
[{'FirstName': 'David', 'LastName': 'Vogan', 'EmailAddress': 'dav@math.mit.edu', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'S', 'LastName': 'Helgason', 'EmailAddress': None, 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'Massachusetts Institute of Technology', 'CityName': 'Cambridge', 'ZipCode': '021394301', 'PhoneNumber': '6172531000', 'StreetAddress': '77 MASSACHUSETTS AVE', 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA'}
[{'Code': '1262', 'Text': 'MODERN ANALYSIS'}, {'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}, {'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8805665.xml'}