By John W. Morgan
This e-book is predicated on lectures given at Stanford college in 2009. the aim of the lectures and of the publication is to offer an introductory evaluation of the way to take advantage of Ricci movement and Ricci circulate with surgical procedure to set up the Poincare Conjecture and the extra common Geometrization Conjecture for three-d manifolds. lots of the fabric is geometric and analytic in nature; an important factor is knowing singularity improvement for three-dimensional Ricci flows and for three-dimensional Ricci flows with surgical procedure. This figuring out is essential for extending Ricci flows with surgical procedure so they are outlined for all confident time. as soon as this result's in position, one needs to examine the character of the time-slices because the time is going to infinity in an effort to deduce the topological outcomes. The target of the authors is to provide the most important geometric and analytic effects and subject matters of the topic with no weighing down the presentation with too many info. This e-book might be learn as an creation to extra whole remedies of a similar fabric.