U.S.-Japan Cooperative Research: Joint Research in Higher-  Dimensional Geometry
{'Code': '01090000', 'Directorate': {'Abbreviation': 'O/D', 'LongName': 'Office Of The Director'}, 'Division': {'Abbreviation': 'OISE', 'LongName': 'Office Of Internatl Science &Engineering'}}
{'SignBlockName': 'Charles Wallace', 'PO_EMAI': None, 'PO_PHON': None}
This award will enable Prof. C. Herbert Clemens and colleagues of the           University of Utah to collaborate with Prof. Shigefumi Mori of Nagoya           University, Japan, over a period of two years.  They will investigate           certain aspects of higher-dimensional geometry, in particular the               cohomological criteria for contractibility of curves on threefolds; the         existence of rational curves on K-trivial threefolds; 3-dimensional             flips; and extensions of results to dimensions greater than three.              These problems, among others to be considered, all comprise algebraic,          analytic, and topological aspects, and the proposed research brings             together experts in all of these fields.                                                                                                                        The purpose of this research is to increase our understanding of                geometry in three and more dimensions.  To this end, the Japanese               investigator and co-workers will pursue the questions raised using              the thickening method and the flip conjecture, while the U.S. group             will use the deformation theory of singularities, and Hodge theory.             This work may be expected to have important implications in the field           of mathematics, and also in the study of the deformation of the                 surfaces of materials.
{'FirstName': 'C.', 'LastName': 'Clemens', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'C. H Clemens', 'EmailAddress': 'clemens.43@osu.edu', 'NSF_ID': '000285877', 'StartDate': '04/01/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'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': '5921', 'Text': 'JAPAN'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8814999.xml'}