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Polynomial authomorphisms, Jacobian, Dixmier and Kontzevich conjecturesтезисы доклада
- Автор: Kanel-Belov A.
- Сборник: Jerusalem Algebra Seminar. Thursday, February 24 2005, at 12:15 (room 209)
- Тезисы
- Год издания: 2005
- Место издания: HUJI
- Первая страница: .
- Аннотация: Our first meeting this semester will be held this Thursday, February 24 2005, at 12:15 (room 209). Dr. A. Kanel-Belov (HU) will give a talk entitled: Polynomial authomorphisms, Jacobian, Dixmier and Kontzevich conjectures. Abstract: The talk is devoted to the famous Jacobian conjecture: JC_n: Has any polynomial mapping of $C^n \to C^n$ with constant Jacobian a polynomial inverse? Diximer conjecture (DC_n): End(W_n)=Aut(W_n), where $W_n=C[x_1,\dots,x_n,\partial x_1,\dots,\partial x_n]$. It was well known that $DC_n$ implies $JC_n$. Recently, together with Kontzevich, the author proved that $JC_{2n}$ implies $DC_n$. This is related to Kontzevich conjecture, saying that $Aut(W_n)$ is isomorphic to the group of polynomial symplectomorphisms of $C^{2n}$. These questions are related to describing aut(aut(W_n)). Recently author proved that the group of algebraic Aut(Aut(C^n)) contains only inner automorphisms. All welcome!
- Добавил в систему: Белов Алексей Яковлевич