Modular Lattices Related to Orthogonal Geometry

Christian Herrmann
Darmstadt

H. Gross established the use of modular lattices, with an adjunction and closure operators added, for the study of classification problems in infinite dimensional (and, in characteristic 2 also finite dimensional) orthogonal geometry. We shall review the abstract lattice theory involved, in particular the computation of subdirectly irreducible factors of finitely presented lattices.