Event calendar file
School of Mathematics Colloquium
On the Jacobian conjecture
by Prof. Asanuma T (Toyama University, Japan)
Thursday, March 17, 2011
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
| Description |
Let $\phi = (f,g): C^2 \rightarrow C^2$ be a polynomial map of the plane over the field C of complex numbers with its Jacobian nonzero constant. The Jacobian conjecture asserts that $\phi$ must be an automorphism. We say that a point $P_infty \in P^2 \C^2$ of the complex projective plane P^2 is a `quasifinite' (w.r.t. \phi)$ if there exists a sequence
$\{P_i\}$ in $C^2 \in P^2$ converging
to $P_\infty$ such that the image $\{\phi(P_i)\}$ converges to a point in
C^2. In this talk I will show that the conjecture holds if any only if there is no quasifinite point.
|
| Organised by | Aravindakshan T |
