Virtualconference
H MMP & foliations on 3-folds : applications
Auteurs : Svaldi, Roberto (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
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/ Auteur de la Conférence Guillot, Adolfo.
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Complete holomorphic vector fields and their singular points - lecture 1
/ Auteur de la Conférence Guillot, Adolfo.
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Complete holomorphic vector fields and their singular points - lecture 2
/ Auteur de la Conférence Guillot, Adolfo.
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MMP for co-rank1 foliations - lecture 2
/ Auteur de la Conférence Spicer, Calum.
-Marseille : CIRM
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MMP for co-rank1 foliations - lecture 1
/ Auteur de la Conférence Spicer, Calum.
-Marseille : CIRM
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MMP for foliations of rank one - lecture 2
/ Auteur de la Conférence Cascini, Paolo.
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/ Auteur de la Conférence Cascini, Paolo.
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/ Auteur de la Conférence Touzet, Frédéric.
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/ Auteur de la Conférence Touzet, Frédéric.
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/ Auteur de la Conférence Pym, Brent.
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/ Auteur de la Conférence Druel, Stéphane.
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/ Auteur de la Conférence Druel, Stéphane.
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/ Auteur de la Conférence Pym, Brent.
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Holomorphic Poisson structures - lecture 2
/ Auteur de la Conférence Pym, Brent.
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Holomorphic Poisson structures - lecture 1
/ Auteur de la Conférence Pym, Brent.
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- SPICER, Calum. Higher-dimensional foliated Mori theory. Compositio Mathematica, 2020, vol. 156, no 1, p. 1-38. - https://doi.org/10.1112/S0010437X19007681
- CASCINI, Paolo et SPICER, Calum. MMP for co-rank one foliation on threefolds. arXiv preprint arXiv:1808.02711, 2018. - https://arxiv.org/abs/1808.02711
- SPICER, Calum et SVALDI, Roberto. Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds. arXiv preprint arXiv:1908.05037, 2019. - https://arxiv.org/abs/1908.05037
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Résumé :
I will explain how the recent developments in the theory of birational geometry of rank 2 foliations on 3-folds have find quite a few applications in the study of the structure of such foliations and their singularities.
In this talk that is a complement to the course of Cascini and Spicer, but which will be self-contained, I shall briefly explain why the MMP terminates and then proceed to illustrate a few applications of these techniques, e.g., to the classification of canonical singularities, to the study of adjunction theory, and to the study of hyperbolicity properties of foliated 3-folds.
The work is in collaboration with Calum Spicer.
In this talk that is a complement to the course of Cascini and Spicer, but which will be self-contained, I shall briefly explain why the MMP terminates and then proceed to illustrate a few applications of these techniques, e.g., to the classification of canonical singularities, to the study of adjunction theory, and to the study of hyperbolicity properties of foliated 3-folds.
The work is in collaboration with Calum Spicer.
Keywords : holomorphic foliations; minimal model program; singularities; separatrices; hyperbolicity
Codes MSC :
14E30
- Minimal model program (Mori theory, extremal rays)
32S65
- Singularities of holomorphic vector fields and foliations
37F75
- Holomorphic foliations and vector fields
MINIMAL MODEL PROGRAM - Cascini, Paolo; Spicer, Calum
CODIMENSION ONE FOLIATIONS WITH PSEUDO-EFFECTIVE CONORMAL BUNDLE - Touzet Frédéric
HOLOMORPHIC POISSON STRUCTURES - Pym, Brent
FANO FOLIATIONS - Druel, Stéphane; Aroujo, Carolina
COMPLETE HOLOMORPHIC VECTOR FIELDS AND THEIR SINGULAR POINTS - Guillot, Adolfo
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 05/06/2020 Date de captation : 28/05/2020 Collection : Research School ; Algebraic and Complex Geometry Durée : 00:52:28 Domaine : Algebraic & Complex Geometry Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2020-05-28_Svaldi.mp4 
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Informations sur la Rencontre Virtuelle
Nom de la rencontre : Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletagesOrganisateurs de la rencontre : Druel, Stéphane ; Pereira, Jorge Vitório ; Rousseau, Erwan Dates : 18/05/2020 - 22/05/2020 Année de la rencontre : 2020 URL Congrès : https://www.cirm-math.com/virtual-event-2251.html
Citation Data
DOI : 10.24350/CIRM.V.19639303Cite this video as: Svaldi, Roberto (2020). MMP & foliations on 3-folds : applications.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19639303 URI : http://dx.doi.org/10.24350/CIRM.V.19639303 |
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