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SUMMARY:Manoel Zanoelo Jarra (Universität Groningen)
DTSTART:20240202T133000Z
DTEND:20240202T143000Z
DTSTAMP:20260422T172459Z
UID:TGiZ/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/59/">Ca
 tegory of matroids with coefficients</a>\nby Manoel Zanoelo Jarra (Univers
 ität Groningen) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n
 \nAbstract\nMatroids are combinatorial abstractions of the concept of inde
 pendence in linear algebra. There is a way back: when representing a matro
 id over a field we get a linear subspace. Another algebraic object for whi
 ch we can represent matroids is the semifield of tropical numbers\, which 
 gives us valuated matroids. In this talk we introduce Baker-Bowler's theor
 y of matroids with coefficients\, which recovers both classical and valuat
 ed matroids\, as well linear subspaces\, and we show how to give a categor
 ical treatment to these objects that respects matroidal constructions\, as
  minors and duality. This is a joint work with Oliver Lorscheid and Eduard
 o Vital.\n
LOCATION:https://researchseminars.org/talk/TGiZ/59/
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