Nilpotent Structures under Curvature Bounds

Dr. Elia Brué, Università Bocconi

Abstract: The study of the topological constraints imposed by curvature bounds is a classical and far-reaching theme in Riemannian geometry. Since Gromov’s pioneering work on almost flat manifolds, nilpotent structures have played a central role in this area. The goal of this colloquium is to illustrate the deep connections between nilpotency and curvature bounds through a survey of relevant examples, as well as classical and more recent results.

Tea and refreshments available from 3:00-3:25 p.m. in the Assmus Conference Room (CU 212).