Colouring curves on surfaces

Joshua Greene (Boston College)

Monday 18th September, 2017 16:00-17:00 Maths 311 B


I will discuss joint work with Jonah Gaster and Nick Vlamis about coloring the curve graph of a surface.  One result is that the chromatic number of the graph of separating curves on a closed surface of genus g grows like g log g; another is that the graph of non-zero homologous curves admits a unique (g-1)-coloring; and together these lead to the best bounds on the chromatic number of the graph of all curves. 

Key words: Kneser graph, Chillingworth homomorphism.

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