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Polynomial automorphisms and Jacobian conjectureтезисы доклада
- Автор: Belov-Kanel Alexey
- Сборник: Seminar in Real & Complex Geometry
- Тезисы
- Год издания: 2012
- Место издания: Tel-Aviv University Tuesday, 22.05.2012, 15:00-16:30, Schreiber building, room 210
- Аннотация: Let $F:C^n\to C^n$ be a polynomial mapping. When is it invertible? The famous Jacobian conjecture says that the local invertibility implies the global invertibility. It is equivalent to Dixmier conjecture saying that $Aut(W_n)=End(W_n)$. Proof of the equivalence uses reduction to prime characteristics and quantization. We discourse relations betveen polynomial automorphism and quantization problems, structure of infinite-dimensional algebraic groups.
- Добавил в систему: Белов Алексей Яковлевич