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SUMMARY:Navid Nabijou (Queen Mary University of London)
DTSTART:20230203T154500Z
DTEND:20230203T164500Z
DTSTAMP:20260422T172218Z
UID:TGiZ/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/49/">Un
 iversality for tropical maps.</a>\nby Navid Nabijou (Queen Mary University
  of London) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\nAbs
 tract\nI will discuss recent work concerning maps from tropical curves to 
 orthants. A “combinatorial type” of such map is the data of an abstrac
 t graph together with slope vectors along the edges. To each such combinat
 orial type there is an associated moduli space\, which parametrises metric
  enhancements of the graph compatible with the given slopes. This moduli s
 pace is a rational polyhedral cone\, giving rise to an affine toric variet
 y.\n\nOur main result shows that every rational polyhedral cone appears as
  the moduli space associated to some combinatorial type of tropical map. T
 his establishes universality (also known as Murphy’s law) for tropical m
 aps. The proof is constructive and extremely concrete\, as I will demonstr
 ate. Combined with insights from logarithmic geometry\, our result implies
  that every toric singularity appears as a virtual singularity on a moduli
  space of stable logarithmic maps.\n\nThis is joint work with Gabriel Corr
 igan and Dan Simms.\n
LOCATION:https://researchseminars.org/talk/TGiZ/49/
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