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Tropical and logarithmic techniques for the study of Milnor fibers - lecture 2

By Patrick Popescu-Pampu

I will explain how to combine tools of local tropical geometry and logarithmic geometry in order to study the structure of Milnor fibers of smoothings of isolated complex singularities, up to homeomorphisms. I will partly follow the paper “The Milnor fiber conjecture of Neumann and Wahl, and an overview of its proof”, written in collaboration with Marıa Angelica Cueto and Dmitry Stepanov.This course replaces a course on the same topic that should have been delivered by Angelica Cueto.

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Citation data

  • DOI 10.24350/CIRM.V.20294603
  • Cite this video Popescu-Pampu, Patrick (29/01/2025). Tropical and logarithmic techniques for the study of Milnor fibers - lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20294603
  • URL https://dx.doi.org/10.24350/CIRM.V.20294603

Bibliography

  • CUETO, Maria Angelica, POPESCU-PAMPU, Patrick, et STEPANOV, Dmitry. The Milnor fiber conjecture of Neumann and Wahl, and an overview of its proof. In PAPADOPOULOS, Athanase. Essays in Geometry. 2023 p.629-710 - https://doi.org/10.4171/irma/34/28
  • CUETO, Maria Angelica, POPESCU-PAMPU, Patrick, et STEPANOV, Dmitry. Local tropicalizations of splice type surface singularities. Mathematische Annalen, 2024, vol. 390, no 1, p. 811-887. - https://doi.org/10.1007/s00208-023-02755-y

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