1923-2023, Centenaire de René Thom

Collection 1923-2023, Centenaire de René Thom

Organizer(s) Jean-Pierre Bourguignon (IHES)

Date(s) 20/09/2023 - 22/09/2023

linked URL https://indico.math.cnrs.fr/event/9880/

00:00:00 / 00:00:00

13 16

From Thom’s gradient cell decomposition to the curvature of Milnor fibers and the log-canonical threshold

By Bernard Teissier

In the early 1970’s Thom tried to use a gradient cell decomposition for the Milnor fiber of an isolated complex hypersurface singularity to prove the finiteness of the monodromy. It did not work but he noted the geometric significance of the polar curve associated to the singularity and a general hyperplane direction. I will describe some of the several uses of the polar curve to obtain algebraic, topological and Lipschitz-geometric information about isolated hypersurface singularities.

Information about the video

Date of recording 21/09/2023
Date of publication 02/10/2023
Institution IHES
Audience Researchers, Graduate Students
Format MP4

Domain(s)

Algebraic Geometry

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All the collection videos

48:11

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53:39

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The geometric ideas of René Thom related to manifolds with singularities

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40:17

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46:30

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The gap between theory and experience: evolution of a problem from morphogenesis to semiophysics

By Sara Franceschelli

01:09:04

published on October 3, 2023

René Thom and semantic information

By Daniel Bennequin

01:02:15

published on October 3, 2023

René Thom’s Catastrophe Theory and the Quantum Theory of Atoms in Molecules

By Cherif Matta

55:28

published on October 2, 2023

Trois remarques sur les modèles morphologiques de René Thom

By Jean Petitot

01:01:56

published on October 2, 2023

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By Wolfgang Wildgen

56:17

published on October 2, 2023

From Thom’s gradient cell decomposition to the curvature of Milnor fibers and the log-canonical threshold

By Bernard Teissier

45:09

published on October 3, 2023

Variants of Lojasiewicz's Gradient Inequality

By Krzysztof Kurdyka

47:49

published on October 3, 2023

Déploiement, Stratification, Monodromy Group

By Norbert A’Campo

56:46

published on October 3, 2023

Separating actions from angles

By Alain Chenciner

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