

BeijingMoscow Mathematics Colloquium
June 12, 2020 16:00–17:00, Moscow, online






Higherdimensional ContouCarrere symbols
D. V. Osipov^{} ^{} Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract:
The classical ContouCarrere symbol is the deformation of the tame symbol, so that residues and higher Witt symbols naturally appear from the ContouCarrere symbol. This symbol was introduced by C. ContouCarrere itself and by P. Deligne. It satisfies the reciprocity laws. In my talk I will survey on the higherdimensional generalization of the ContouCarrere symbol. The ndimensional ContouCarrere symbol naturally appears from the deformation of a full flag of subvarieties on an ndimensional algebraic variety and it is also related with the Milnor Ktheory of iterated Laurent series over a ring. The talk is based on joint papers with Xinwen Zhu (when n=2) and with Sergey Gorchinskiy (when n>2).
Language: English

