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UID:20250812T113418EDT-9779tluHR8@132.216.98.100
DTSTAMP:20250812T153418Z
DESCRIPTION:Coloring curves on surfaces\n\nIn the context of proving that t
 he mapping class group has finite asymptotic dimension\, Bestivina-Bromber
 g-Fujiwara exhibited a finite coloring of the curve graph\, i.e. a map fro
 m the vertices to a finite set so that vertices of distance one have disti
 nct images. In joint work with Josh Greene and Nicholas Vlamis we give mor
 e attention to the minimum number of colors needed. We show: The separatin
 g curve graph has chromatic number coarsely equal to $g log(g)$\, and the 
 subgraph spanned by vertices in a fixed non-zero homology class is uniquel
 y $g-1$-colorable. Time permitting\, we discuss related questions\, includ
 ing an intriguing relationship with the Johnson homomorphism of the Torell
 i group.\n
DTSTART:20180427T150000Z
DTEND:20180427T160000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy
SUMMARY:Jonah Gaster\, CIRGET
URL:/mathstat/channels/event/jonah-gaster-cirget-28674
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