Title: Flats in compact convex projective manifolds
Speaker: Date: Time: Room:
Martin Bobb, University of Texas
Feb 11, 2020
3:30 PM MSCS 509
Abstract: Convex projective structures on manifolds are a rich generalization of hyperbolic structures. One key difference is that a convex projective manifold may have flat substruc- tures. We will discuss some first examples of convex projective geometry,
and then describe a natural decomposition of compact convex manifolds along their codimension-1 flats. This generalizes a result of Benoist, which states that a compact convex projective 3-manifold geometrically JSJ-decomposes into cusped hyperbolic manifolds.