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K-theory and arithmetic

29th September 2002 to 5th October 2002

Organisers: S Lichtenbaum (Brown), VP Snaith (Southampton)

Workshop Theme

This workshop will concentrate on the aspects of the interplay between algebraic K-theory, arithmetic and algebraic geometry. Particular emphasis will be placed upon applications of the recently developed homotopy theory of geometric and motivic categories. In addition to lectures on current results, a number of expository lectures will be scheduled to provide researchers and graduate students in related areas with an opportunity to learn about these new techniques. Topics of current interest in this area include: Beilinson-Soulé conjectures, Bloch-Kato conjecture, Beilinson-Borel regulators, Kato-Parshin-Saito higher class field theory, Lichtenbaum-Quillen conjecture, Milnor K-theory, motivic cohomology, Brumer-Coates-Sinnott conjectures, polylogarithms and special values of L-functions.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons