December 5 (Wed) 15:00 - Intermediate report for master theses July 11 (Wed) 16:30 - 17:30 Prof. Delphine Pol (Hokkaido University, JSPS) On a generalization of Solomon Terao formula Abstract: The characteristic polynomial of a subspace arrangement is an important combinatorial invariant which carries information about the combinatorics and the topology of the arrangement and its complement. The Solomon-Terao formula gives the relation between the characteristic polynomial of an hyperplane arrangement and the Hilbert-Poincaré series of the modules of logarithmic differential forms. We will study in this talk a generalization of this formula for equidimensional subspace arrangements of higher codimension. The generalized Solomon-Terao formula is satisfied by all line arrangements, but we will give examples showing that it may not be satisfied by some higher dimensional subspace arrangements.