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DESCRIPTION: As we tell our undergraduates\, if K is a field\, then there a
 re a great number of different ways to describe a linear subspace of K^n. I
 f the base is an algebraic object with less structure than a field\, linear
  algebra becomes more subtle\, and some of these descriptions cease to agre
 e. One such setting is tropical geometry. Tropical geometers have reached c
 onsensus as to what the "correct" notion of tropical linear subspace is (on
 e way to get it is by a vector of determinants). My subject will be one of 
 the "wrong" descriptions\, namely row spaces of matrices\, which only produ
 ces a subset of the tropical linear spaces. Applications include generalisa
 tions of Mason's results from the '70s on presentations of transversal matr
 oids\, and a construction in the new area of tropical ideal theory.   This 
 work is variously joint with Felipe Rinc\'on\, Jorge Alberto Olarte\, and J
 effrey and Noah Giansiracusa. 
DTSTAMP:20181015T171800
DTSTART:20181022T141500
CLASS:PUBLIC
LOCATION:Technische Universität Berlin\n Institut für Mathematik\n Straße d
 es 17. Juni 136\n 10623 Berlin\n Room MA 041 (Ground Floor)
SEQUENCE:0
SUMMARY:Alexander Fink (Queen Mary University London): Stiefel tropical lin
 ear spaces
UID:93601925@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20181022-L-Fink.html
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