Mathematical Sciences: Evolution Equations in Geometry
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{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
Richard Hamilton will continue his exciting work on the heat               equation in differential geometry. In recent work he has shown                  that on a compact four manifold with positive curvature operator                the metric evolves to one of constant positive sectional                        curvature. In collaboration with Michael Gage, he showed that a                 convex curve in the plane shrinks under curve shortening to a                   point, remaining convex all the time and becoming asymptotically                circular near the end.                                                               In continuing this work he will consider convergence of                    curvature operators in higher dimensions. Similarly he will                     investigate convergence of metrics on the two sphere in the case                where the initial metric has some negative curvature. There are                 clearly many avenues to be explored and the probability of                      significant achievements seems very high.
{'FirstName': 'Burton', 'LastName': 'Rodin', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Burton Rodin', 'EmailAddress': None, 'NSF_ID': '000471705', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-San Diego', 'CityName': 'LA JOLLA', 'ZipCode': '920930021', 'PhoneNumber': '8585344896', 'StreetAddress': '9500 GILMAN DR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '50', 'CONGRESS_DISTRICT_ORG': 'CA50', 'ORG_UEI_NUM': 'UYTTZT6G9DT1', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, SAN DIEGO', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
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