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SUMMARY:Differential equations for colored maps - Bernardi\, O (Brandeis U
 niversity)
DTSTART:20150422T130000Z
DTEND:20150422T140000Z
UID:TALK59063@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We study the Potts model on planar maps. The partition functio
 n of this model is the generating function of colored maps counted accordi
 ng to the number of monochromatic edges and dichromatic edges. We characte
 rize this partition function by a simple system of differential equations.
  Some special cases\, such as properly 4-colored maps\, have particularly 
 simple equations waiting for a more direct combinatorial explanation. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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