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SUMMARY:Jorge Olarte Parra (Technische Universitat Berlin)
DTSTART:20221122T200000Z
DTEND:20221122T210000Z
DTSTAMP:20260423T023932Z
UID:Matroids/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/15/
 ">Transversal Valuated Matroids</a>\nby Jorge Olarte Parra (Technische Uni
 versitat Berlin) as part of Matroids - Combinatorics\, Algebra and Geometr
 y Seminar\n\nLecture held in Room 210 The Fields Institute.\n\nAbstract\nT
 ransversal matroids are a class of matroids that arises from matchings in 
 bipartite graphs. This has a generalization to valuated matroids which ari
 se from tropical minors of a matrix. This is the so-called tropical Stiefe
 l map. Brualdi and Dinolt gave a construction that characterizes all bipar
 tite graphs that represent a given transversal matroid. We show a valuated
  analogue of this result. In other words\, we characterize all matrices wi
 th fixed maximal tropical minors. This has several geometric interpretatio
 ns\, such as characterizing tropical hyperplanes with fixed stable interse
 ctions.This is joint work with Alex Fink.\n
LOCATION:https://researchseminars.org/talk/Matroids/15/
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