On a problem of Whitney type in algebraic geometry | Vidéo | Carmin.tv

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On a problem of Whitney type in algebraic geometry

By Claire Voisin

Appears in collection : Abel in Paris 2024

Whitney embedding theorem in differential geometry says that a small perturbation $f'$ of a map $f$ between two compact manifolds of dimensions $m$ and $n$ (hence $f'$ is isotopic, and a fortiori homotopic to $f$) is an embedding if $n^{2m}$ (the Whitney range). I will discuss a related question, asked by Borel and Haefliger, in complex algebraic geometry: can we write the cohomology class of an algebraic subvariety of a smooth projective variety as a combination with integral coefficients of classes of smooth subvarieties? Claire Voisin will discuss classical and recent results on this question, with emphasis on the Whitney range, which has recently been solved in the affirmative by Kollár and herself.

Information about the video

Date of recording 11/01/2024
Date of publication 11/01/2024
Institution IHP
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis, Fabrizio Scapin
Format MP4
Venue IHP - Hermite Amphitheater

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