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Higher Local Fields: class field theory and applications

August 29 - September 5, 1999

Muenster, Germany

Mathematics

Homepage: http://www.maths.nott.ac.uk/personal/ibf/hif.html

Organizers: Falko Lorenz (Muenster), Ivan Fesenko (Nottingham)

Description:
Programme: theory of higher dimensional local fields, symbols on higher dimensional local fields, Milnor K-groups of complete discrete valuation fields, topological K-groups of higher dimensional local fields, Kurihara's exponential homomorphism for K-groups of complete discrete valuation rings, Parshin's class field theory, Kato's class field theory, Koya's and Spiess' class field theory, higher explicit reciprocity formulas, Kurihara's class field theory for absolutely unramified complete fields, Fesenko's class field theory and generalizations, Zhukov's higher ramification theory, non-K-theory approaches to higher class field theory, non-abelian local class field theory, Efrat's algebraic proof of Pop's theorem, various applications.

Speakers: I. Efrat (Ben Gurion), U. Jannsen (Koeln), Y. Koya (Yokohama), M. Kurihara (Tokyo), A. Parshin (Moscow), M. Spiess (Nottingham), S. Vostokov (St. Petersburg), I. Zhukov (St. Petersburg)

Date received: February 07, 1999

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