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Steklov Mathematical Institute Seminar
November 19, 2015 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Higher Contou-Carrère symbol

S. O. Gorchinskiy
Video records:
MP4 488.1 Mb
MP4 1,924.0 Mb

S. O. Gorchinskiy
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Abstract: The talk is based on a common work with D.V. Osipov. The Contou-Carrere symbol in dimension n is a way to construct an invertible element of an arbitrary commutative ring A using n+1 Laurent series of n variables over A. This symbol arises when considering n-dimensional varieties and complete flags on them, i.e. complete chains of irreducible subvarieties. The higher Contou-Carrere symbol satisfies a fundamental property — a so-called reciprocity law holds for it. All this will be discussed in detail in the talk. We will start with simple classical examples.
 
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