Mathematical Sciences: Representation Theory For Semisimple Lie Groups
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez', 'PO_EMAI': None, 'PO_PHON': None}
This project is mathematical research in the representation                 theory of 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, the three principal investigators will                   study algebraic and analytic localizations of representations, in               the context of D-modules and Harish-Chandra modules.  The overall               theme is to get back and forth between various accounting schemes               for the representations of a given group.  This work involves                   techniques and ideas from several areas of mathematics, for                     instance algebraic geometry and complex geometry.
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{'Name': 'University of Utah', 'CityName': 'SALT LAKE CITY', 'ZipCode': '841129049', 'PhoneNumber': '8015816903', 'StreetAddress': '201 PRESIDENTS CIR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Utah', 'StateCode': 'UT', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'UT01', 'ORG_UEI_NUM': 'LL8GLEVH6MG3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF UTAH', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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