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Polynomial authomorphisms and relations between the Jacobian and the Dixmier Conjecturesдоклад на конференции
- Автор: Kanel-Belov Alexei
- Международная Конференция : 2004 Annual Meeting of the Israel Mathematical Union
- Даты проведения конференции: 6-7 мая 2004
- Дата доклада: 6 мая 2004
- Тип доклада: Устный
- Докладчик: не указан
- Место проведения: Hotel Kibbutz Shefayim,, Израиль
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Аннотация доклада:
The talk is devoted to the famous Jacobian conjecture (JC) which describes when a polynomial mapping of a complex affine space is invertible. Another famous conjecture by Dixmier (DC) says that every endomorphism of the algebra of differential operators is an automorphism. The implication (DC) => (JC) was well known for about 40 years. Recently, in a joint work with M. Konsevitch, we proved the opposite implication (JC) => (DC). We will also discuss relations with the cancellation conjecture and with the Konsevitch conjecture.
- Добавил в систему: Белов Алексей Яковлевич