ИСТИНА

The Jacobian Conjecture states that any locally invertible polynomial map over C Is globally invertible? Dixmier conjecture states that any nontrivial endomorphism of a Weil algebra (i.e. algebra of differential operators) is an authomorphism? Kontsevih conjecture says there is a natural isomorphism between the group of authomorphism of a Weil algebra and the group of polynomial symplectomorphisms? In the lecture I’ll discuss relations between these conjectures. Joint work with Andrey Elishev and Jie Tai You