Mathematical Sciences: Homotopy Limit Problems and AlgebraicK-Theory
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Carlsson plans to study the stable structure of a delooping             of Quillen's algebraic K-theory, with the hope of producing a                   stable splitting of a natural filtration of it.  He also plans to               study the algebraic K-theory of certain non-singular curves,                    which are used to describe the failure of the so-called profinite               descent map.  Both these projects, if successful, would be                      important progress in the resolution of the Lichtenbaum-Quillen                 conjectures for algebraic K-theory.  This work comes under the                  general heading of exploring and perfecting algebraic techniques                for treating qualitative features of spaces, e.g. connectedness,                knottedness, stability, and so forth.  Such features can be every               bit as significant for applications as are the usual features                   examined by methods of classical analysis.
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{'Name': 'Princeton University', 'CityName': 'PRINCETON', 'ZipCode': '085442001', 'PhoneNumber': '6092583090', 'StreetAddress': '1 NASSAU HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New Jersey', 'StateCode': 'NJ', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'NJ12', 'ORG_UEI_NUM': 'NJ1YPQXQG7U5', 'ORG_LGL_BUS_NAME': 'THE TRUSTEES OF PRINCETON UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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