Mathematical Sciences: Plancherel Measures and Automorphic  L-Functions
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{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This research concerns the study of the following areas of                 representation theory and automorphic forms.  The first is the                  study of the possibility of defining tempered L-packets for p-                  adic reductive groups by means of the dual of a certain map                     coming from transfer of orbital integrals.  The existence of this               map even though not yet proved in general is by now fairly                      accepted and is the basis of stabilization of the trace formula                 by Langlands.  The second problem concerns the theory of R-groups               for representations induced from non-discrete tempered                          representations of a p-adic group.  The Principal Investigator                  will also pursue his work on unifying different methods of                      studying automorphic L-functions.  Finally he will try to extend                his result on the finiteness of poles of certain automorphic L-                 functions to a larger class of them.                                                 Generating functions of arithmetic functions are well known                and powerful tools for the study of these functions.  The deepest               and most erudite of all these studies is the so called Langland's               program.  But the benefits of this program are very high.  This                 research is in this area.
{'FirstName': 'Freydoon', 'LastName': 'Shahidi', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Freydoon Shahidi', 'EmailAddress': 'shahidi@math.purdue.edu', 'NSF_ID': '000234744', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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