Friday, 7 December, 2012 - 11:30
Prénom de l'orateur :
Genevieve
Nom de l'orateur :
Walsh
Résumé :
Given a (combinatorial) triangulation T of the two-sphere, there is a right-angled coxeter group C(T) which is defined by the one-skeleton of T. When the triangulation T can be realized as an acute triangulation, we show how to build a CAT(-1) polyhedral complex on which C(T) acts geometrically. This space is quasi-isometric to $\mathbb{H}^3$. As a consequence, a triangulation of the two-sphere can be realized as an acute triangulation if and only if it does not contain any separating 3- or 4- cycles. This is joint work with Sang-hyun Kim, KAIST.
Institution de l'orateur :
Tufts Univ.
Thème de recherche :
Topologie
Salle :
04