Counting curves and crossing lemmas (Geometry Seminar)
Event details
| Date | 20.11.2024 |
| Hour | 11:15 › 12:15 |
| Speaker | Hugo Parlier (University of Luxembourg) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
The crossing lemma for simple graphs gives a lower bound on the necessary number of crossings of any planar drawing of a graph in terms of its number of edges and vertices. Viewed through the lens of topology, this leads to questions about arcs and curves on surfaces such as how many crossings must a collection of m homotopically distinct curves on a surface of genus g induce.
The talk will be about joint work with Alfredo Hubard where we explore some of these, using tools from the hyperbolic geometry of surfaces in the process.
Practical information
- Informed public
- Free