English
On the automorphisms of compact Kähler manifolds
Multi angle
Auteurs : Dinh, Tien-Cuong (Auteur de la Conférence)
CIRM (Editeur )
14J50 - Automorphisms of surfaces and higher-dimensional varieties
32H50 - Iteration problems
32M05 - Complex Lie groups, automorphism groups of complex spaces, See also {22E10}
37B40 - Topological entropy
CIRM (Editeur )
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Résumé :
The automorphism group of a compact Kähler manifold satisfies Tits alternative: any subgroup either admits a solvable subgroup of finite index or contains a free non-abelian group of two generators (Campana-WangZhang). In the first case, this group cannot be too big. Some algebraic (rational) manifolds with special automorphisms admit infinitely many nonequivalent real forms. This talk is based on my (old and recent) works with F. Hu, H.-Y. Lin, V.-A. Nguyen, K. Oguiso, N. Sibony, X. Yu, D.-Q. Zhang.
Keywords : automorphisms of compact Kähler manifolds; zero entropy automorphisms; dynamical filtrations; polynomial growth; derived length
Codes MSC : Keywords : automorphisms of compact Kähler manifolds; zero entropy automorphisms; dynamical filtrations; polynomial growth; derived length
14J50 - Automorphisms of surfaces and higher-dimensional varieties
32H50 - Iteration problems
32M05 - Complex Lie groups, automorphism groups of complex spaces, See also {22E10}
37B40 - Topological entropy
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 16/11/2022 Date de captation : 17/10/2022 Sous collection : Research talks arXiv category : Complex Variables ; Dynamical Systems Domaine : Analysis and its Applications ; Dynamical Systems & ODE Format : MP4 (.mp4) - HD Durée : 00:47:46 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-10-17_Dinh.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Complex Geometry, Dynamical Systems and Foliation Theory / Géométrie complexe, systèmes dynamiques et théorie de feuilletagesOrganisateurs de la rencontre : Marinescu, George ; Nguyên, Viêt Anh ; Wulcan, Elizabeth Dates : 17/10/2022 - 21/10/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2639.html
Données de citation
DOI : 10.24350/CIRM.V.19969103Citer cette vidéo: Dinh, Tien-Cuong (2022). On the automorphisms of compact Kähler manifolds. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19969103 URI : http://dx.doi.org/10.24350/CIRM.V.19969103 |
Voir aussi
- [Multi angle] New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces / Auteur de la Conférence Nivoche, Stéphanie.
- [Multi angle] Formal principle for rational curves in complex threefolds / Auteur de la Conférence Hwang, Jun-Muk.
- [Multi angle] On the metric structure of section rings / Auteur de la Conférence Finski, Siarhei.
- [Multi angle] Extension of quasiplurisubharmonic functions / Auteur de la Conférence Coman, Dan.
Bibliographie
- DINH, Tien-Cuong et SIBONY, Nessim. Groupes commutatifs d'automorphismes d'une variété kählérienne compacte. Duke Mathematical Journal, 2004, vol. 123, no 2, p. 311-328. - http://dx.doi.org/10.1215/S0012-7094-04-12323-1
- DINH, Tien-Cuong., NGUYEN, Viêt-Anh. The mixed Hodge–Riemann bilinear relations for compact Kähler manifolds. GAFA, Geom. funct. anal. , 2006, vol.16, p. 838–849. - http://dx.doi.org/10.1007/s00039-006-0572-9
- DINH, Tien-Cuong, HU, Fei, et ZHANG, De-Qi. Compact Kähler manifolds admitting large solvable groups of automorphisms. Advances in Mathematics, 2015, vol. 281, p. 333-352. - https://doi.org/10.1016/j.aim.2015.05.002
- DINH, Tien-Cuong et OGUISO, Keiji. A surface with discrete and nonfinitely generated automorphism group. Duke Mathematical Journal, 2019, vol. 168, no 6, p. 941-966. - http://dx.doi.org/10.1215/00127094-2018-0054
- DINH, Tien-Cuong, LIN, Hsueh-Yung, OGUISO, Keiji, et al. Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations. Geometric and Functional Analysis, 2022, p. 1-27. - http://dx.doi.org/10.1007/s00039-022-00599-3
- DINH, Tien-Cuong, OGUISO, Keiji, et YU, Xun. Smooth complex projective rational surfaces with infinitely many real forms. arXiv preprint arXiv:2106.05687, 2021. - https://doi.org/10.48550/arXiv.2106.05687
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