Quebec Mathematical Sciences Colloquium

September 21, 2012 from 16:00 to 18:00 (Montreal/Miami time) On location

Geometry of complex surface singularities

Colloquium presented by Walter Neumann (Barnard College, Columbia University)

A complex variety has two intrinsic metric space structures in the neighborhood of any point ("inner" and "outer" metric) which are uniquely determined from the complex structure up to bilipschitz change of the metric (changing distances by at most a constant factor). In dimension 1 the inner metric (given by minimal arc-length within the variety) carries no interesting information, and it is only very recently, starting with a 2008 paper of Birbrair and Fernandes, that it has become clear how rich metric information is in higher dimensions. Dimension 2 is now very well understood through work of Birbrair, Pichon and the speaker. The talk will give an overview of this work and some applications.


Université de Montréal, Pav. André-Aisenstadt, 2920, chemin de la Tour, ROOM 6214