Report 32/2006: Algebraic \(K\)-Theory (July 16th – July 22nd, 2006). (English) Zbl 1109.19300

Oberwolfach Rep. 3, No. 3, 1941-1990 (2006).

Abstract: This is the report on the Oberwolfach workshop Algebraic \(K\)-Theory, held in July 2006. The talks covered mainly topics from Algebraic Geometry and Number Theory in connection with \(K\)-Theory. Special emphasis was placed on motivic cohomology and motivic homotopy of general schemes.
Contributions:

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Thomas Geisser, Duality via cycle complexes (p. 1945)

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Florian Ivorra, l-adic realization of triangulated motives over a noetherian separated scheme and a motivic equivalence (p. 1947)

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Hélène Esnault (joint with Phùng Hô Hai and Xiaotao Sun), On Nori’s fundamental group scheme (p. 1950)

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Christian Haesemeyer (joint with G. Cortiñas and C. Weibel), K-theory of singularities and a conjecture of Vorst (p. 1952)

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Joël Riou, Operations on algebraic K-theory and regulators via the homotopy theory of schemes (p. 1954)

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Andreas Rosenschon (joint with V. Srinivas), Algebraic cycles on products of elliptic curves over p-adic fields (p. 1957)

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Kanetomo Sato (joint with Shuji Saito), Weak Bloch-Beilinson conjecture for zero-cycles over p-adic fields (p. 1959)

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Frédéric Déglise, Triangulated mixed motives and the 6 functors formalism (p. 1961)

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Teena Gerhardt, On \(RO(S^1)\)-graded TR (p. 1963)

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Clark Barwick, \(\mathcal D\)-crystals (p. 1966)

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Hourong Qin, Reflection theorems and the \(p\)-Sylow subgroup of \(K_{2n}O_F\) for a number field \(F\) (p. 1969)

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Jens Hornbostel (joint with Serge Yagunov), Rigidity for \(A^1\)-representable theories (p. 1971)

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Rob de Jeu (joint with Amnon Besser, Paul Buckingham and Xavier- François Roblot), On the \(p\)-adic Beilinson conjecture for number fields (p. 1973)

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Moritz Kerz, The Gersten conjecture for Milnor K-theory (p. 1976)

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Baptiste Calmès (joint with Jens Hornbostel), Transfers for Witt groups and Grothendieck duality (p. 1978)

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Paul Arne Østvær (joint with Oliver Röndigs), Modules over motivic cohomology (p. 1979)

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Spencer Bloch, Algebraic cycles and additive Chow groups (p. 1981)

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Stephen Lichtenbaum, Weil-étale cohomology of mixed motives (p. 1985)

MSC:

19Dxx	Higher algebraic \(K\)-theory
19Exx	\(K\)-theory in geometry
19Fxx	\(K\)-theory in number theory
00B05	Collections of abstracts of lectures