Mathematical Sciences: Cyclic Homology and D-Modules
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
This research project concerns the geometrical aspects and                 applications of several cohomology theories (cyclic homology,                   equivariant cohomology theories, elliptic cohomology), and also                 D-modules.  The cyclic homology of important algebras                           (differential and pseudo-differential operators, group algebras                 for Lie groups, crossed-product algebras) will be further studied               and related to problems in geometry, topology, and representation               theory.  This includes relations with equivariant cohomology,                   which will be applied to actions of Lie groups on manifolds.  The               investigator will study the geometric and number-theoretic                      aspects of elliptic cohomology.  He will also pursue several                    difficult questions on D-modules in relation to Hodge theory and                moduli spaces of curves.
{'FirstName': 'Jean-Luc', 'LastName': 'Brylinski', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jean-Luc Brylinski', 'EmailAddress': 'jlb496@yahoo.com', 'NSF_ID': '000237366', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Pennsylvania State Univ University Park', 'CityName': 'UNIVERSITY PARK', 'ZipCode': '168021503', 'PhoneNumber': '8148651372', 'StreetAddress': '201 OLD MAIN', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '15', 'CONGRESS_DISTRICT_ORG': 'PA15', 'ORG_UEI_NUM': 'NPM2J7MSCF61', 'ORG_LGL_BUS_NAME': 'THE PENNSYLVANIA STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8815744.xml'}