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SUMMARY:Differential equations for colored maps - Bernardi\, O (Brandeis U
 niversity)
DTSTART:20150422T130000Z
DTEND:20150422T140000Z
UID:TALK59148@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Coauthor: Mireille Bousquet-Melou (CNRS)\n\nWe study the Potts
  model on planar maps. The partition function of this model is the generat
 ing function of colored maps counted according to the number of monochroma
 tic edges and dichromatic edges. We characterize this partition function b
 y 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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