Event № 2055

Type: Seminar

Name: Mathematical Colloquium

Title: Introduction to Geometric Structures and Classification of Generalized Cusps on Convex Projective Manifolds

Speaker: Dr. Arielle Leitner

Place: 424/8, Holon Academic Institute of Technology

The first half 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.

SubmittedBy: Anatoly Golberg , golberga@hit.ac.il

EventLink: Event № 2055