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SUMMARY:Stable curves and chromatic polynomials
DTSTART:20261105T130000Z
DTEND:20261105T150000Z
DTSTAMP:20261103T013200Z
UID:indico-event-17047@indico.math.cnrs.fr
DESCRIPTION:Speakers: Bernhard Reinke (Aix-Marseille Université)\n\nThe i
 ntersection numbers of moduli spaces of stable curves are well-studied and
  are known to have rich combinatorial structure. We introduce a natural cl
 ass of these intersection numbers indexed by finite graphs. In genus zero\
 , these numbers are closely related to several previously-studied quantiti
 es\, including maximum likelihood degrees in algebraic statistics\, counts
  of regions of certain hyperplane arrangements\, and Kapranov degrees. For
  undirected graphs\, we recover the chromatic polynomial of the graph eval
 uated at negative integers. This leads us to propose a new generalization
  of the chromatic polynomial of a directed graph.\nIn my talk\, I will ske
 tch a proof for the equality in the undirected case using the theory of hy
 perplane arrangements\, and discuss various properties of the generalizati
 on to directed graphs.\nThis talk is based on joint work with Rob Silversm
 ith.\n\nhttps://indico.math.cnrs.fr/event/17047/
URL:https://indico.math.cnrs.fr/event/17047/
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