Type: Seminar

Distribution: World

Expiry: 7 Sep 2016

Auth: leo@dyn-129-78-250-115.wirelessguest.usyd.edu.au (ltzo2369) in SMS-WASM

We begin with cone theta functions, which are cousins of theta functions, but are defined as a natural discretization of the volume of a spherical polytope. We obtain precise asymptotics of the cone theta function attached to any simplicial cone, near a rational "cusp", and use these asymptotics to give new extensions of the Gram-relations for the solid angles of faces of a simple rational polytope.