Universiteit Faculteit FNWI English version | 3 october 2006, e-mail |

## Woensdag 4 oktober 2006
Vanaf kwart voor 11 is er koffie en thee in de binnenstraat
(voor de zaal).
## AbstractIn 1992 several people independently made the following conjecture, now known as:H := (H be a homogeneous polynomial
map from _{1}, ..., H_{n})C to itself of degree 3
(i.e. each ^{n}H is homogeneous of degree 3 or zero)
such that the Jacobian matrix _{i}JH is nilpotent.
Are the rows of JH linearly dependent over C?
The importance of this question comes from the fact that it is related
to the Jacobian Conjecture. In 2005 the speaker found the first
counterexample in dimension 10 (and won a bottle of Polish Vodka,
offered since 1993, for his solution).
In this talk the solution to the problem will be discussed: a counterexample in dimension 53. |