Title: Homological stability of moduli spaces of manifolds.
Speaker: Soren Galatius
Speaker Info: Stanford University
he moduli space of Riemann surfaces M_g parametrizes bundles of genus g surfaces. A classical theorem of J. Harer implies that the homology H_k(M_g) is independent of g, as long as g is large compared to k. In joint work with Oscar Randal-Williams, we establish an analogue of this result for manifolds of higher dimension: The role of the genus g surface is played by the connected sum of g copies of S^n x S^n.Date: Monday, April 22, 2013