Mathematical Sciences: Residues, Traces and Relative        Fundamental Classes
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator will continue studying the basic                global theory of the fundamental class of a flat morphism of                    finite type over a fixed finite dimensional base scheme and its                 relation to the local theory as expressed via residues and traces               of differential forms and Hochschild homology.  An attempt will                 be made to organize the results within a bivariant theory.                      Arapura will study DuBois singularities.  He will study them  by                considering the problem of showing that rational singularities                  are DuBois.                                                                          This project is in the area of algebraic geometry.  Lipman                 will work on formulating the Grothendieck theory in a useful way.               Arapura will work on singularities in algebraic varieties, those                places in the varieties that are geometrically cusps, creases and               so forth.
{'FirstName': 'Joseph', 'LastName': 'Lipman', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Joseph Lipman', 'EmailAddress': 'jlipman@purdue.edu', 'NSF_ID': '000094798', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Purdue Research Foundation', 'CityName': 'WEST LAFAYETTE', 'ZipCode': '479064353', 'PhoneNumber': '3174946200', 'StreetAddress': '1281 WIN HENTSCHEL BLVD STE 2500', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Indiana', 'StateCode': 'IN', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'IN04', 'ORG_UEI_NUM': 'C1G1LGYJF5G5', 'ORG_LGL_BUS_NAME': 'PURDUE RESEARCH FOUNDATION', 'ORG_PRNT_UEI_NUM': 'YRXVL4JYCEF5'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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