|Coordinates:||JH Michell Theatre in the Richard Berry Building|
|Speaker:||Walter Neumann (Barnard College, Columbia University)|
|Title:||Bilipschitz geometry of complex surface singularities|
(Joint work with Lev Birbrair and Anne Pichon.)
It was commonly believed that that metric geometry of a complex surface in a neighborhood of a singular point is relatively uninteresting. The first examples showing that it could be nontrivial were found by Birbriar and Fernandes in 2005. At this point we have a complete description of the geometry in terms of a refined JSJ decomposition of the 3-manifold boundary of neighborhood of the singularity plus a rational "shrink rate" associated with each piece of this decomposition.