The talk studies analogues to matroids and oriented matroids for complex projective point configurations. Such generalizations can be obtained by introducing a convex phase function that plays the analogous the role of the sign function for oriented matroids. Commonalities and differences to the theory of oriented matroids are studied. In particular criteria for realizability in the generic case are given and will be related to certain highly symmetric syzygies in invariant theory and a rigidity property.
Jan 12, 2015 | 02:15 PM
Freie Universität Berlin, Takustr, 9, 14195 Berlin, room: 005