Diffeomorphism groups of some high dimensional manifolds.
Tuesday, January 31, 2012 - 9:00am - 10:00am
I will discuss the homological structure of the classifying space of 2d-dimensional (d-1)-connected manifolds. This generalizes the case of surfaces where the stable homology was predicted by the Mumford conjecture and the actual homology by the Harer stability theorem. The methods involve rational homotopy theory and surgery theory.