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Crossing the line: from graphs to curves
Multi angle
Authors : Parlier, Hugo (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
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 other questions about arcs and curves on surfaces. Here is one: how many crossings do 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.
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/10/2023 Conference Date : 02/10/2023 Subseries : Research talks arXiv category : Geometric Topology Mathematical Area(s) : Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:54:05 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-10-02_Parlier.mp4 
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Information on the Event
Event Title : Probability and Geometry in, on and of non-Euclidian spaces / Probabilités et géométrie dans, sur et des espaces non-euclidiensEvent Organizers : Curien, Nicolas ; Garcia-Failde, Elba ; Petri, Bram ; Singh, Arvind Dates : 02/10/2023 - 06/10/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2897.html
Citation Data
DOI : 10.24350/CIRM.V.20099803Cite this video as: Parlier, Hugo (2023). Crossing the line: from graphs to curves. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20099803 URI : http://dx.doi.org/10.24350/CIRM.V.20099803 |
See Also
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Bibliography
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