ИСТИНА

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).