Bernard Teissier: Some recent developments around the Łojasiewicz inequality

Date of publication: 9. 11. 2013

Mathematics colloquium

Četrtek, 14. november 2013, ob 18:15 v predavalnici 2.02 na Jadranski 21.

Bernard Teissier

Institut de Mathématiques de Jussieu, Paris

The Łojasiewicz inequality states that if a real (sub)analytic function f on an open set U of ${\mathbf R}^n$ vanishes on the zero set of another (sub)analytic function g, then there is a reason: for every compact subset K of U, there exist $C > 0$ and $θ > 0$ such that on K we have $\vert f\vert <c\vert g\vert ^\theta$ . This has had many resonances in analysis, algebra, algebraic geometry. I will describe some of them, as well as some properties of the best possible exponent $θ$ and its relation with the geometry of the map $(f,g)\colon U\to \mathbf R^2$ .

http://wiki.fmf.uni-lj.si/wiki/MatematicniKolokviji