Speaker: Pawel Pilarczyk

Title: Algorithmic Homology Computation as a Tool in Dynamics

Abstract: We introduce algorithms for the (relative) homology computation
of sets built of cubes with respect to a fixed grid in $\R^n$,
as well as the homomorphisms induced in homology by continuous maps
on such sets. This is a computational-topological tool that has recently
been developed and improved to such an extent that it can be
effectively applied to some real problems in dynamical systems,
like the computation of the Conley index, for instance.
This is a joint work with K. Mischaikow and M. Mrozek.