July 1, 2013 - 09:58 — Anonymous

Sep 23 2013 - 08:30

Sep 27 2013 - 17:00

Venue:

Université de Savoie, Chambéry, France

Short description of the event:

The aim is to bring together mathematicians belonging to two communities: those working on quantitative aspects of subanalytic geometry and those working on geometric measure theory as it relates to subanalytic geometry.

Here are some examples: The Lojasiewicz inequality has an innite dimensional version and constitutes a main step in Simon's proof of the uniqueness of the tangent cone to a stationary varifold (generalized minimal surface of arbitrary dimension and codimension in

Euclidean space) at an isolated singular point. The rate of convergence, predicted

by the proof, of homethetic expansions of the stationary varifold to its tangent cone

is slower than "geometric", and shown by examples to be optimal. It is the same

rate of convergence obtained in Kurdyka-Mostowski-Parusinski's proof of the Thom

gradient conjecture: the secants to the integral curves of an analytic vector eld

vanishing at one point converge to a unique limit.

Since we aim at gathering researchers working in two different fields, it seems rea-

sonable to replace "expert talks" by series of lectures that should be "user friendly"

in the sense that each of us wishes to understand all talks.