Sprecher
Eva Feichtner
Beschreibung
Bergman complexes are intertwined with arrangement theory in various ways.
They figure as tropicalizations of arrangement complements and, at the same time,
provide combinatorial core structure for certain arrangement compactifications.
They add to the collection of abstract (simplicial, resp. polyhedral) complexes
associated with matroids, which makes them interesting objects from the viewpoint
of algebraic and topological combinatorics. We review old and new results on these
beautiful complexes.