A criterion of robust transitivity for endomorphisms on the torus
Martin Andersson (UFF)

In this talk we will present a new criterion for the robust transitivity of partially hyperbolic endomorphisms of T2 whose action in homology has two integer eigenvalues greater than one. The criterion says that if the Jacobian at every point is larger than the spectral radius of the action in homology, then the endomorphism is robustly transitive. To obtain this result we introduce Blichfeldts Theorem as a tool to extract dynamical information from the action of a map in homology. This is a joint work with Wagner Ranter..