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SUMMARY:Nicholas Anderson (Queen Mary)
DTSTART:20211118T130000Z
DTEND:20211118T140000Z
DTSTAMP:20260423T005803Z
UID:notts_ag/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/87/
 ">Paving tropical ideals</a>\nby Nicholas Anderson (Queen Mary) as part of
  Online Nottingham algebraic geometry seminar\n\n\nAbstract\nTropical geom
 etry is a powerful tool in algebraic geometry\, which offers a multitude o
 f combinatorial approaches to studying algebraic varieties. This talk will
  focus on the recent development of tropical commutative algebra by Diane 
 Maclagan and Felipe Rincon. The central object of study is the “tropical
  Ideal\,” which generalizes the structure of polynomial ideals over fiel
 ds to be suitable for study in the setting of tropical geometry\, that is\
 , in polynomial semirings over semifields. All polynomial ideals over a fi
 eld can be associated to a “realizable” tropical ideal\, and it is a n
 on-trivial fact that “non-realizable” tropical ideals exist. In this t
 alk\, I will demonstrate how the combinatorics of matroid theory allows us
  to easily generate a subclass of tropical ideals\, called paving tropical
  ideals\, which in turn allows us to prove that most zero-dimensional trop
 ical ideals are not realizable.\n
LOCATION:https://researchseminars.org/talk/notts_ag/87/
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