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Complete outer Lipschitz classification of complex surface singularities

By Anne Pichon

Appears in collection : Singularities / Singularités

The talk will present a complete Lipschitz classification of complex sur-face germs for the outer metric. It is based on the classification relative to the inner metric obtained 10 years ago with Lev Birbrair and Walter Neu-mann and on new tools involving non archimedean geometry, in particular the non-archimedean link which is a generalization of the valuative tree introduced by Favre and Jonsson, and ultrametrics on what we call the log-arithmic link of the singularity. This is a joint work with Lorenzo Fantini and Walter Neumann.

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Citation data

  • DOI 10.24350/CIRM.V.20095503
  • Cite this video Pichon, Anne (26/09/2023). Complete outer Lipschitz classification of complex surface singularities. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20095503
  • URL https://dx.doi.org/10.24350/CIRM.V.20095503

Bibliography

  • PICHON, Anne. An introduction to Lipschitz geometry of complex singularities. Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018, 2020, p. 167-216. - http://dx.doi.org/10.1007/978-3-030-61807-0_7

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