Foliations, birational geometry and applications - Thematic Month Week 2 / Feuilletages, géométrie birationnelle et applications - Mois thématique semaine 2

Collection Foliations, birational geometry and applications - Thematic Month Week 2 / Feuilletages, géométrie birationnelle et applications - Mois thématique semaine 2

Organizer(s) Araujo, Carolina ; Belotto Da Silva, André ; Pichon, Anne ; Rond, Guillaume ; Ruggiero, Matteo

Date(s) 03/02/2025 - 07/02/2025

linked URL https://conferences.cirm-math.fr/3268.html

00:00:00 / 00:00:00

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Resolution of singularities for the dynamical mathematician lecture 1

By Dan Abramovich

The series aims to introduce resolution of singularities for non-experts, with foliation specialists in mind. The work discussed is joint with Andé Belotto da Silva, Michael Temkin and Jaroslaw Wlodarczyk.

Talk 1: Resolution of singularities in characteristic 0 - why does it work?

I continue a long struggle to explain to non-experts why resolution of singularities in characteristic zero works. I explain a criterion, one paragraph in an article by Wlodarczyk, which tells you what you need in order to resolve singularities.

Information about the video

Date of recording 03/02/2025
Date of publication 03/03/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20298703
Cite this video Abramovich, Dan (03/02/2025). Resolution of singularities for the dynamical mathematician lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20298703
URL https://dx.doi.org/10.24350/CIRM.V.20298703

Domain(s)

Algebraic Geometry

Bibliography

ABRAMOVICH, Dan, TEMKIN, Michael, et WŁODARCZYK, Jarosław. Functorial embedded resolution via weighted blowings up. arXiv preprint arXiv:1906.07106, 2019. - https://doi.org/10.48550/arXiv.1906.07106
ABRAMOVICH, Dan, QUEK, Ming Hao, et SCHOBER, Bernd. Resolving plane curves using stack-theoretic blow-ups. arXiv preprint arXiv:2412.16426, 2024. - https://doi.org/10.48550/arXiv.2412.16426
WŁODARCZYK, Jarosław. Functorial resolution by torus actions. arXiv preprint arXiv:2203.03090, 2022. - https://doi.org/10.48550/arXiv.2203.03090
ABRAMOVICH, Dan, DA SILVA, Andre, TEMKIN, Michael, et WŁODARCZYK, Jarosław. Principalization on logarithmically foliated orbifolds, preprint, 2024 - https://andrebelotto.com/wp-content/uploads/2025/01/foliated-1.pdf

MSC codes

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