Event Date
2012-04-02
Event Time
02:30 pm ~ 03:20 pm
Event Location
Wachman 617
Our starting point is a celebrated approximation theorem due to M.
Artin (1969) which roughly states that any formal solution of a system
of polynomial equations can be approximated (in the Krull topology)
by a sequence of algebraic solutions. Our goal in this talk is to explore
whether a similar conclusion holds when the system of polynomial is
coupled with certain (linear) pde’s. We will discuss the class of linear operators for which such a generalization is possible. These opera-
tors arise as tangential Cauchy-Riemann operators of real-algebraic CR
manifolds (and include, as a very special case, the standard Cauchy-
Riemann operator of the complex euclidean space).