Colloquium: Monday, November 13, 4 pm. Speaker: Arielle Leitner (Technion). Title: “Introduction to Geometric Structures and Classification of Generalized Cusps on Convex Projective Manifolds”.
The first part of the talk will be an introduction to geometric structures in the sense of Thurston. We will also review a bit of projective geometry, and take a virtual tour with computer visualizations through some interesting types of geometry.
In the second part of the talk, we will discuss conditions for deforming properly convex projective structures to get new properly convex projective structures. A necessary condition is that the ends of the manifold have the structure of generalized cusps. I have classified these in dimension 3, and together with Sam Ballas and Daryl Cooper, we have classified generalized cusps in dimension n. We will discuss the geometry, volume, and classification by lattices, and deformation theory of generalized cusps.