Triangulations, Heegaard splittings and hyperbolic geometry

December 10 to December 14, 2007

at the

American Institute of Mathematics, San Jose, California

organized by

Jennifer Schultens and Maggy Tomova

Original Announcement

This workshop will be devoted to the study of 3-manifolds via two new methods of decomposing them - efficient triangulations and Mom technology. These are reminiscent of the classical tools of triangulations and Heegaard splittings and one goal of the workshop is to draw connections amongst these four structures. Furthermore, we aim to make connections between these decompositions and the geometry of the manifold.

The workshop will bring together purely combinatorial 3-manifold topologists, hyperbolic geometers and specialists on the curve complex. Some of the specific questions we would like to address are:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:

Coverings and minimal triangulations of 3-manifolds
by  William Jaco, J. Hyam Rubinstein, and Stephan Tillmann
Minimal triangulations for an infinite family of lens spaces
by  William Jaco, J. Hyam Rubinstein, and Stephan Tillmann