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Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005
November 19, 2018 14:40–15:00, Direction "Algebraic geometry, algebra and number theory", Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Higher-dimensional Contou-Carrere symbols

D. V. Osipov
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D. V. Osipov
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Abstract: Higher-dimensional Contou-Carrere symbol is a deformation of the higher-dimensional tame symbol and the higher-dimensional residue which are important in the higher-dimensional class field theory of K. Kato, A. N. Parshin and others. I will give a review of results on higher-dimensional Contou-Carrere symbols, in particular, I will speak on its various definitions, including explicit formulas, and also about its universal property. The talk is based on joint papers with S. O. Gorchinskiy.

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