|
Résumé |
The Jacobian conjecture states that for any polynomial map from \mathbb{C}^n to itself, if it is everywhere a local diffeomorphism, then it admits a polynomial global inverse. In this talk, I will present the three-dimensional counterexample to this conjecture posted by L. Alpöge on X and credited to Claude.
After stating the conjecture and the counterexample, I will explain the geometric interpretation of the counterexample which was posted by A. Jiang and credited to ChatGPT. Finally I will give some observations about the history of the conjecture and its significance. |
