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SUMMARY:Sarah Eggleston (U. Osnabrück)
DTSTART:20230505T140000Z
DTEND:20230505T150000Z
DTSTAMP:20260423T035410Z
UID:LAGARTOS/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/58/
 ">The amoeba dimension of a linear space</a>\nby Sarah Eggleston (U. Osnab
 rück) as part of (LAGARTOS) Latin American Real and Tropical Geometry Sem
 inar\n\n\nAbstract\nGiven a complex vector subspace $V$ of $\\mathbb{C}^n$
 \, the dimension of the amoeba of $V \\cap (\\mathbb{C}^∗)^n$ depends on
 ly on the matroid of $V$. Here we prove that this dimension is given by th
 e minimum of a certain function over all partitions $P_1\,\\dots\,P_k$ of 
 the ground set into nonempty parts $P_i$\, as previously conjectured by Jo
 hannes Rau. We also prove that this formula can be evaluated in polynomial
  time. This is joint work with Jan Draisma\, Rudi Pendavingh\, Johannes Ra
 u\, and Chi Ho Yuen.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/58/
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