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SUMMARY:Marie-Charlotte Brandenburg (MPI MiS)
DTSTART:20220811T141500Z
DTEND:20220811T160000Z
DTSTAMP:20260422T065459Z
UID:CJCS/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/76/">Tr
 opical Positivity and Determinantal varieties</a>\nby Marie-Charlotte Bran
 denburg (MPI MiS) as part of Copenhagen-Jerusalem Combinatorics Seminar\n\
 n\nAbstract\nA determinantal variety is the set of (d x n)-matrices of bou
 nded rank.\nWe study the tropicalization of the set of matrices with posit
 ive entries and bounded rank\, i.e. the positive part of determinant varie
 ties. Given such a (d x n)-matrix of fixed rank r\, we can interpret the c
 olumns of the tropicalization of this matrix as n points in d-dimensional 
 space\, lying on a common r-dimensional tropical linear space. We consider
  such tropical point configurations\, and introduce a combinatorial criter
 ion to characterize configurations which can be obtained from the tropical
 ization of matrices with positive entries.\nNo prior knowledge of tropical
  geometry will be assumed for this talk. This is based on joint work with 
 Georg Loho and Rainer Sinn.\n
LOCATION:https://researchseminars.org/talk/CJCS/76/
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