English
Resolution of singularities for the dynamical mathematician lecture 1
Multi angle
Auteurs : Abramovich, Dan (Auteur de la conférence)
CIRM (Editeur )
14A20 - Generalizations (algebraic spaces, stacks)
14E15 - Global theory and resolution of singularities
32S45 - "Modifications; resolution of singularities, See Also { 14E15}"
32S65 - Singularities of holomorphic vector fields and foliations
14A21 - Logarithmic algebraic geometry, log schemes
CIRM (Editeur )
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Résumé :
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.
Mots-Clés : resolution of singularities; stacks; logarithmic structures; foliations
Codes MSC : 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.
Mots-Clés : resolution of singularities; stacks; logarithmic structures; foliations
14A20 - Generalizations (algebraic spaces, stacks)
14E15 - Global theory and resolution of singularities
32S45 - "Modifications; resolution of singularities, See Also { 14E15}"
32S65 - Singularities of holomorphic vector fields and foliations
14A21 - Logarithmic algebraic geometry, log schemes
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 03/03/2025 Date de Captation : 03/02/2025 Sous Collection : Research school Catégorie arXiv : Algebraic Geometry Domaine(s) : Géométrie Complexe & géométrie Algébrique Format : MP4 (.mp4) - HD Durée : 01:00:52 Audience : Chercheurs ; Etudiants Science Cycle 2 ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-02-03_Abramovich_1 
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Informations sur la Rencontre
Nom de la Rencontre : Foliations, birational geometry and applications - Thematic Month Week 2 / Feuilletages, géométrie birationnelle et applications - Mois thématique semaine 2Organisateurs de la Rencontre : Araujo, Carolina ; Belotto Da Silva, André ; Pichon, Anne ; Rond, Guillaume ; Ruggiero, Matteo Dates : 03/02/2025 - 07/02/2025 Année de la rencontre : 2025 URL de la Rencontre : https://conferences.cirm-math.fr/3268.html
Données de citation
DOI : 10.24350/CIRM.V.20298703Citer cette vidéo: Abramovich, Dan (2025). Resolution of singularities for the dynamical mathematician lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20298703 URI : http://dx.doi.org/10.24350/CIRM.V.20298703 |
Voir Aussi
- [Multi angle] An introduction to the Minimal Model Program for foliations lecture 3 / Auteur de la conférence Spicer, Calum.
- [Multi angle] An introduction to the Minimal Model Program for foliations lecture 2 / Auteur de la conférence Spicer, Calum.
- [Multi angle] An introduction to the Minimal Model Program for foliations lecture 1 / Auteur de la conférence Spicer, Calum.
- [Multi angle] Local dynamics of tangent to the identity biholomorphisms in dimension two lecture 3 / Auteur de la conférence López-Hernanz, Lorena.
- [Multi angle] Local dynamics of tangent to the identity biholomorphisms in dimension two lecture 2 / Auteur de la conférence López-Hernanz, Lorena.
- [Multi angle] Local dynamics of tangent to the identity biholomorphisms in dimension two lecture 1 / Auteur de la conférence López-Hernanz, Lorena.
- [Multi angle] Resolution of singularities for the dynamical mathematician lecture 3 / Auteur de la conférence Abramovich, Dan.
- [Multi angle] Resolution of singularities for the dynamical mathematician lecture 2 / Auteur de la conférence Abramovich, Dan.
Bibliographie
- 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
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