Hebrew University MATHEMATICAL LOGIC SEMINAR
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Speaker: Alexei Kanel-Belov (HUJI)
Title: Non-Standard Analysis, Polynomial Automorphisms
and Kontsevich Conjecture.
Time/Place: Wednesday, 11.1.2006, 14:00, in Math building,
room 207
Abstract: 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).
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Technion Math Net-2 (TECHMATH2)
Editor: Yehuda Pinchover
Announcement from: Raima Sternheim