Bergman Complex of a MatroidAlgebra & Discrete Mathematics
|Speaker:||Carly Klivans, MSRI|
|Start time:||Fri, Oct 31 2003, 2:10PM|
The Bergman complex was first defined as the logarithmic limit set of an algebraic variety. More recently, it has appeared in the thoery of tropical geometry. In a special case, the complex can be reformulated in terms of matroids. We show that the Bergman complex of a matroid is the order complex of the lattice of flats of the matroid. Moreover, we show that for graphical matroids of complete graphs, the Bergman complex is the space of phylogentic trees.