Title: Another combinatorial eigenvalue problem Time and Location: 26th of November, 2008, 2 p.m.; RISC-Seminarroom, Schloss Hagenberg Abstract: A problem in algebraic geometry (construction of a family of abelian varieties with particular symmetry properties, joint work with E. Izadi, Athens, and H. Lange, Erlangen) was solved by proving summation identities. One way of achieving this is by considering eigenvalues of certain differential operators acting on spaces of homogeneous polynomials. Equivalently: the eigenvalues are those of matrices for counting lattice paths.The non-obvious fact that these eigenvalues are simple and are integers extends to two other lattice path counting problems.