International Congress of Mathematicians

424 L. Hesselholtwhere \'- GK —^ Aut(^p°°) = Z* is the cyclotomic character.Acknowledgments The research reported here was supported in part by grantsfrom the National Science Foundation and by an Alfred P. Sloan Fellowship.References[i[2:[3;[4;[5;[6;[7;t«:[9[10:[n[12:[13;[14[15[16[ir[18[19A. A. Beilinson, Height pairing between algebraic cycles, FJ-theory, arithmeticand geometry (Moscow, 1984-1986), Lecture Notes in Math., vol. 1289,Springer-Verlag, 1987, 1-25.P. Berthelot, Cohomologie cristalline des schémas de caractéristique p > 0,Lecture Notes in Math., vol. 407, Springer-Verlag, 1974.S. Bloch, Algebraic K-theory and crystalline cohomology, Pubi. Math. I.H.E.S.47 (1977), 187-268.S. Bloch and K. Kato, p-adic etale cohomology, Pubi. Math. IHES 63 (1986),107-152.M. Bökstedt, Topological Hochschild homology, Preprint 1985, UniversitätBielefeld.M. Bökstedt, W.-C. Hsiang, and I. Madsen, The cyclotomic trace and algebraicK-theory of spaces, Invent. Math. Ill (1993), 465-540.M. Bökstedt and I. Madsen, Topological cyclic homology of the integers, K-theory (Strasbourg, 1992), Astérisque, vol. 226, 1994, 57-143.A. K. Bousfield, The localization of spectra with respect to homology, Topology18 (1979), 257-281.K. Dennis, Algebraic K-theory and Hochschild homology, Algebraic FJ-theory,Evanston, IL., 1976 (unpublished lecture).B. I. Dundas and R. McCarthy, Topological Hochschild homology of ring functorsand exact categories, J. Pure Appi. Alg. 109 (1996), 231-294.J. L. Dupont, Algebra of polytopes and homology of flag complexes, Osaka J.Math. 19 (1982), 599-641.J. L. Dupont and C.-H. Sah, Scissors congruences, II, J. Pure Appi. Alg. 25(1982), 159-195.J.-M. Fontaine, Le corps des périodes p-adiques, Périodes p-adiques (Séminairede Bures, 1988), Astérisque, vol. 223, 1994, 59-111.T. Geisser and L. Hesselholt, On the K-theory of a henselian discrete valuationfield with non-perfect residue field, Preprint 2002., Topological cyclic homology of schemes, FJ-theory (Seattle, 1997),Proc. Symp. Pure Math., vol. 67, 1999, 41-87.T. Geisser and M. Levine, The K-theory of fields in characteristic p, Invent.Math. 139 (2000), 459-493.J. P. C. Greenlees and J. P. May, Generalized Tate cohomology, vol. 113, Mem.Amer. Math. Soc, no. 543, 1995.L. Hesselholt, On the p-typical curves in Quillen's K-theory, Acta Math. 177(1997), 1-53.L. Hesselholt and I. Madsen, On the de Rham-Witt complex in mixed characteristic,Preprint 2002.