A Pascal's Theorem for rational normal curves
Event details
| Date | 16.04.2019 |
| Hour | 14:00 › 15:00 |
| Speaker | Alessio Caminata (Université de Neuchâtel) |
| Location | |
| Category | Conferences - Seminars |
Pascal’s Theorem gives a synthetic geometric condition for six points A,...,F in the projective plane to lie on a conic. Namely, that the intersection points of the lines AB and DE, AF and CD, EF and BC are aligned. One could ask an analogous question in higher dimension: is there a linear coordinate-free condition for d + 4 points in the d-dimensional projective space to lie on a degree d rational normal curve? In this talk we will discuss and give an answer to this problem by writing in the Grassmann-Cayley algebra the defining equations of the parameter space of d+4 ordered points that lie on a rational normal curve of degree d.
Practical information
- Informed public
- Free
Organizer
- Zsolt Patakfalvi
Contact
- Monique Kiener