A proof of Neumann and Wahl's Milnor fibre conjecture via logarithmic geometry - lecture 1 | Vidéo | Carmin.tv

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A proof of Neumann and Wahl's Milnor fibre conjecture via logarithmic geometry - lecture 1

De Patrick Popescu-Pampu

Apparaît dans la collection : Jean-Morlet Chair 2021 - Research School: Milnor Fibrations, Degenerations and Deformations from Modern Perspectives / Chaire Jean-Morlet 2021 - Ecole : Fibrations de Milnor, dégénérescences et déformations : perpectives modernes

The splice type singularities introduced in 2001 by Neumann and Wahl provide the largest class known so far of links of isolated complete intersection surface singularities which are integral homology spheres. These singularities are determined up to equisingularity by particular kinds of decorated trees, called splice diagrams. Neumann and Wahl formulated the so-called Milnor fiber conjecture, stating that any choice of an internal edge of a splice diagram determines a kind of four-dimensional decomposition of the Milnor fiber of the associated singularity. The aim of this course is to explain the structure of a proof of this conjecture, obtained in collaboration with Maria Angelica Cueto and Dmitry Stepanov. lt uses a combination of toric, tropical and logarithmic geometry.

Informations sur la vidéo

Date de captation 06/09/2021
Date de publication 27/09/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19798903
Citer cette vidéo Popescu-Pampu, Patrick (06/09/2021). A proof of Neumann and Wahl's Milnor fibre conjecture via logarithmic geometry - lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19798903
URL https://dx.doi.org/10.24350/CIRM.V.19798903

Domaine(s)

Bibliographie

Nakayama, Chikara, and Arthur Ogus. "Relative rounding in toric and logarithmic geometry." Geometry & Topology 14.4 (2010): 2189-2241. - https://doi.org/10.2140/gt.2010.14.2189
Neumann, Walter D., and Jonathan Wahl. "Complex surface singularities with integral homology sphere links." Geometry & Topology 9.2 (2005): 757-811. - http://dx.doi.org/10.2140/gt.2005.9.757

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