Abstract: Accessibility is an important concept in the study of groups and manifolds since it gives a way of decomposing the object in question into simpler pieces. In my talk I will survey some accessibility results of groups and manifolds, and explain how to relate the two. I will then discuss a joint work with Benjamin Beeker on a higher dimensional version of these ideas using CAT(0) cube complexes. The talk will be very accessible as no prior knowledge of these topics is assumed.
Higher dimensional accessibility and bounding curves on surfaces