"Beyond positivity"
Event details
| Date | 01.03.2017 |
| Hour | 14:15 › 15:15 |
| Speaker | Dr. Karim Adiprasito (Hebrew University Jerusalem) |
| Location | |
| Category | Conferences - Seminars |
The Hard Lefschetz Theorem's importance extends far beyond algebraic geometry. In particular, many deceptively simple combinatorial conjectures seem depend on this mysterious theorem, but are only known to be true if the associated varieties satisfy the Lefschetz theorem by virtue of the Kaehler package. For instance, Gruenbaum conjectured that for any simplicial d-complex X embedded in R^2d, we have the inequality
(d+2)x #{d-1-dimensional simplices in X} > #{d-dimensional simplices in X}
I will discuss a new way to prove the Lefschetz theorem beyond the availability of Hodge type theorems and address this conjecture and others, like the McMullen g-conjecture.
Practical information
- Informed public
- Free
Organizer
- Prof. Philippe Michel
Contact
- marcia gouffon