Mikolay Fraczyk: Growth of mod-2 homology in higher rank lattices

Speaker: Mikolay Fraczyk

Title: Growth of mod-2 homology in higher rank lattices

Abstract: A higher rank lattice is a discrete finite covolume subroup of a semisimple lie group containing  the torus R^*xR^*. This class of groups satisfies remarkable rigidity properties. In particular the covolume of such a lattice in the ambient lie group depends only on its isomorphism class. In this talk I will explain how to show that for a higher rank lattice L the rank of H_1(L, Z/2Z) is sublinear in the covolume of L.