Thursday, March 24, 2016
15:40, IUM, conference hall
Higher Contou-Carrere symbol
Sergei Gorchinsky (Steklov Mathematical Institute of RAS, NRU HSE)
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.
22.03.2016 | Leonid Petrov |