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Audiovisual Mathematics Library

Audiovisual Mathematics Library

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Holonomy of singular Ricci-flat metrics

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Virtualconference
Authors : Guenancia, Henri (Author of the conference)
CIRM (Publisher )

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Abstract : Keywords : singular Kähler-Einstein metrics; holonomy; varieties with zero first Chern class

MSC Codes :
14E30 - Minimal model program (Mori theory, extremal rays)
 14J32 - Calabi-Yau manifolds
 32J27 - Compact Kähler manifolds: generalizations, classification
Additional resources :
https://www.cirm-math.fr/RepOrga/2250/Slides/Slides_CIRM_Guenancia.pdf
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 08/04/2020
    Conference Date : 07/04/2020
    Subseries : Research talks
    arXiv category : Differential Geometry ; Complex Variables
    Mathematical Area(s) : Algebraic & Complex Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 00:43:19
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2020-04-07_Guenancia.mp4
Information on the Event

Event Title : Jean-Morlet Chair 2020 - Workshop: Varieties with Trivial Canonical Class / Chaire Jean-Morlet 2020 - Workshop: Variétés de la classe canonique triviale
Event Organizers : Loray, Frank ; Pereira, Jorge Vitório ; Rousseau, Erwan
Dates : 06/04/2020 - 17/04/2020
Event Year : 2020
Event URL : https://www.chairejeanmorlet.com/2250.html

Citation Data

DOI : 10.24350/CIRM.V.19627503
Cite this video as: Guenancia, Henri (2020). Holonomy of singular Ricci-flat metrics. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19627503
URI : http://dx.doi.org/10.24350/CIRM.V.19627503

See Also

Bibliography

  • Arnaud Beauville. Variétés Kähleriennes dont la première classe de Chern est nulle. J. Differential Geom. 18 (1983), no. 4, 755–782 (1984). - http://dx.doi.org/10.4310/jdg/1214438181

  • Daniel Greb; Stefan Kebekus; Thomas Peternell. Singular spaces with trivial canonical class. Minimal models and extremal rays (Kyoto, 2011), 67–113, Adv. Stud. Pure Math., 70, Math. Soc. Japan, [Tokyo], 2016. - http://dx.doi.org/10.2969/aspm/07010067

  • Stéphane Druel. A decomposition theorem for singular spaces with trivial canonical class of dimension at most five. Invent. Math. 211 (2018), no. 1, 245–296. - https://doi.org/10.1007/s00222-017-0748-y

  • Stéphane Druel; Henri Guenancia. A decomposition theorem for smoothable varieties with trivial canonical class. J. Éc. polytech. Math. 5 (2018), 117–147. - https://doi.org/10.5802/jep.65

  • Daniel Greb; Henri Guenancia; Stefan Kebekus. Klt varieties with trivial canonical class: holonomy, differential forms, and fundamental groups. Geom. Topol. 23 (2019), no. 4, 2051–2124. - https://doi.org/10.2140/gt.2019.23.2051

  • Andreas Höring; Thomas Peternell. Algebraic integrability of foliations with numerically trivial canonical bundle. Invent. Math. 216 (2019), no. 2, 395–419. - https://doi.org/10.1007/s00222-018-00853-2

  • PEREIRA, Jorge Vitório et TOUZET, Frédéric. Foliations with vanishing Chern classes. Bulletin of the Brazilian Mathematical Society, New Series, 2013, vol. 44, no 4, p. 731-754. - https://doi.org/10.1007/s00574-013-0032-8

  • GUENANCIA, Henri, Semistability of the tangent sheaf of singular varieties. Algebr. Geom. 3 (2016), no. 5, 508–542. - https://doi.org/10.14231/AG-2016-024


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