Mathematical Sciences: Quadratic Forms and Galois Cohomology
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{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
In the modern development of quadratic form theory, one of                 the most important problems has always been that of finding                     invariants.  In the language of Witt rings, this is the problem                 of finding homomorphisms from various parts or subquotients of                  the Witt ring into other, hopefully more manageable, algebraic                  entities.  This project studies several aspects of an important                 subproblem of this problem called the Arason-Milnor problem.                         This research concerns the theory of quadratic forms which                 is a study of the solutions of homogeneous second degree                        polynomials, or equivalently, the study of the geometry of spaces                                                                                               possessing a symmetric inner product.  The project outlined                     concerns some of the most important problems in the area of                     algebraic quadratic forms.
{'FirstName': 'William', 'LastName': 'Jacob', 'PI_MID_INIT': 'B', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'William B Jacob', 'EmailAddress': 'jacob@math.ucsb.edu', 'NSF_ID': '000437624', 'StartDate': '06/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Name': 'Oregon State University', 'CityName': 'CORVALLIS', 'StateCode': 'OR', 'ZipCode': '973318655', 'StreetAddress': '1500 SW JEFFERSON AVE', 'CountryCode': 'US', 'CountryName': 'United States', 'StateName': 'Oregon', 'CountryFlag': '1', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_PERF': 'OR04'}
{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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