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Non-Standard Analysis, Polynomial Automorphisms and Kontsevich Conjectureтезисы доклада
- Автор: Kanel-Belov Alexei
- Сборник: HUJI, MATH. LOGIC SEMI. Wed, 11.1.2006, 14:00, in Math building, room 207, Jerusalem, . see also http://www2.math.technion.ac.il/ techm/20100505150020100505kan (Arithmetic, Geometry, and Topology seminar Dep. of Math., BIU wed., 5 may ’10, at 3:30 pm
- Тезисы
- Год издания: 2006
- Место издания: Yehuda Pinchover
- Первая страница: .
- Аннотация: Hebrew University MATHEMATICAL LOGIC SEMINAR =========================== Speaker: Alexei Kanel-Belov (HUJI) Title: Non-Standard Analysis, Polynomial Automorphisms and Kontsevich Conjecture. Time/Place: Wednesday, 11.1.2006, 14:00, in Math building, room 207 Abstract: Let $W_n$ be a Weil algebra of polynomial differential operators of $n$ variables. This algebra is simple and there is no naïve way to construct an algebraic geometry over spectrum of $W_n$. However, if we consider reduction modulo $p$ this algebra became finite dimensional over its center (generated by $x_i^p,\partial_i^p$). Moreover, the center has a structure of poison algebra (hence a symplectic structure). If $p$ is infinitely large, we get a homomorphism from semigroup of endomorphisms of Weil algebra, to semigroup of polynomial symplectomorphism of affine space over algebraical closed field of characteristic zero. The talk is devoted to the common work with M.Kontsevich. We discourse independence questions due to choosing infinitely large prime, and correspondence between modula over rings of differential operators and algebraic varieties (related to the annihilator in center of reduction to Weil algebra to the infinitely large prime). --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Yehuda Pinchover <techm@math.technion.ac.il> Announcement from: Raima Sternheim <raima@math.huji.ac.il>
- Добавил в систему: Белов Алексей Яковлевич