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SUMMARY:Matt Baker (Georgia Tech)
DTSTART:20210716T140000Z
DTEND:20210716T150000Z
DTSTAMP:20260423T021049Z
UID:LAGARTOS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/27/
 ">Lift theorems for representations of matroids over pastures</a>\nby Matt
  Baker (Georgia Tech) as part of (LAGARTOS) Latin American Real and Tropic
 al Geometry Seminar\n\n\nAbstract\nGiven a partial field P\, the Lift Theo
 rem of Pendavingh and van Zwam produces a partial field L(P) and a homomor
 phism L(P) -> P with the property that if a matroid is representable over 
 P then it is also representable over L(P). We will formulate a generalizat
 ion of the Pendavingh-van Zwam Lift Theorem to pastures\, which generalize
  both partial fields and hyperfields\, and explore some of its combinatori
 al implications. For certain restricted classes of matroids (e.g. ternary 
 matroids)\, we obtain a stronger lift theorem which is essentially sharp. 
 Even in the case of partial fields\, our method of proof is different from
  that of Pendavingh and van Zwam and we're able to prove some new results.
  This is joint work with Oliver Lorscheid.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/27/
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