Title: The role of surgery in curvature and rigidity problems
Speaker: Stanley Chang (Wellesley)
Abstract: In this talk, I will discuss the effort to classify high-dimensional manifolds using tools in K-theoy and L-theory. In particular, I will introduce the role of the Dirac operator in curvature problems and the role of the Wall L-groups in rigidity computations. The talk will also include some recent theorems involving noncompact arithmetic manifolds.