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Globus Seminar
March 24, 2016 15:40, Moscow, IUM (Bolshoi Vlas'evskii per., 11)
 


Higher Contou-Carrere symbol

S. O. Gorchinskiyab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Laboratory of algebraic geometry and its applications, Higher School of Economics, Moscow
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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.
The talk will be held in Russian.

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