Speaker: Karthik Chandrasekhar

Title:  Facing up to metrics

Abstract:

Here we study arrangements of geodesic lines on spaces topologically equivalent to the real 2-plane, but having different metrics. We study the regions of all possible of f-vectors. Mainly we study the hyperbolic plane (the upper half plane with a non-Euclidean metric) which reveals a vastly different region of f-vectors.