The Calabi invariant of an irrational pseudo rotation; a finite dimensional approach
Dia | 2023-02-27 15:00:00-03:00 |
Hora | 2023-02-27 15:00:00-03:00 |
Lugar | Salón de seminarios del IMERL |
The Calabi invariant of an irrational pseudo rotation; a finite dimensional approach
Patrice Le Calvez (Sorbonne Université)
Some years ago, Michael Hutchings proved that the Calabi invariant of an irrational pseudo rotation of the disk is equal to its rotation number. The proof uses Embedded Contact Homology theory. We give a proof that uses finite dimensional arguments, related to the dynamical study of the gradient field of a generating function.