Cohomology algebras of subspace arrangements-the combinatorial approach
by
Günter M. Ziegler
TU Berlin

``Combinatorial Stratifications'' of real and complex subspace arrangements lead to explicit cell complex models for the complements - and in favorable cases one has enough combinatorial control to derive in this setting not only the cohomology of the complement, but even the multiplicative structure of the cohomology algebra.

In this talk, I plan to review the set-up, and report about some recent ``favorable cases'':

• my study with Eva Maria Feichtner on the cohomology algebras of subspace arrangements with a geometric lattice of intersections,
• work by Mark de Longueville on the cohomology algebras of real and complex coordinate subspace arrangements, and
• the results by Corrado De Concini and Mario Salvetti on the cohomology of finite Coxeter groups.

http://www.math.tu-berlin.de/~ziegler

Date received: May 6, 1999