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SUMMARY:Anastasia Nathanson (University of Minnesota)
DTSTART:20221124T200000Z
DTEND:20221124T210000Z
DTSTAMP:20260423T024610Z
UID:Matroids/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/16/
 ">Volume polynomials of matroids</a>\nby Anastasia Nathanson (University o
 f Minnesota) as part of Matroids - Combinatorics\, Algebra and Geometry Se
 minar\n\nLecture held in Room 210 The Fields Institute.\n\nAbstract\nAssoc
 iated to any divisor in the Chow ring of a simplicial tropical fan\, we di
 scuss the construction a family of polytopal complexes\, called normal com
 plexes\, which we propose as an analogue of the well-studied notion of nor
 mal polytopes from the setting of complete fans. The talk will describe ce
 rtain closed convex polyhedral cones of divisors for which the “volume
 ” of each divisor in the cone—that is\, the degree of its top power—
 is equal to the volume of the associated normal complexes. We will discuss
  the theory of normal complexes developed in talk as a polytopal model und
 erlying the combinatorial Hodge theory pioneered by Adiprasito\, Huh\, and
  Katz.\n
LOCATION:https://researchseminars.org/talk/Matroids/16/
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