Cremona transformations and diffeomorphisms of topological surfaces
Event details
| Date | 12.11.2009 |
| Hour | 11:30 |
| Speaker | Frederic Mangolte (Université de Savoie) |
| Location |
MAA110
|
| Category | Conferences - Seminars |
Cremona transformations and diffeomorphisms of topological surfaces
Résumé : We show that the action of Cremona transformations on the real points of quadrics exhibits the full complexity of the diffeomorphisms of the sphere, the torus, and of all non-orientable surfaces. The main result says that if X is a surface birational to the real projective plane, then Aut(X), the group of algebraic automorphisms, is dense in Diff(X), the group of self-diffeomorphisms of X. (Joint work with János Kollár.)
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Practical information
- General public
- Free