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Audiovisual Mathematics Library

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Virtualconference

Authors : Lo Bianco, Federico (Author of the conference)
CIRM (Publisher )

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Abstract : We consider a holomorphic (singular) foliation F on a projective manifold X and a group G of birational transformations of X which preserve F (i.e. it permutes the set of leaves). We say that the transverse action of G is finite if some finite index subgroup of G fixes each leaf of F.In a joint work with J. V. Pereira, E. Rousseau and F. Touzet, we show finiteness for the group of birational transformations of general type foliations with tame singularities and transverse finiteness for (non-virtually euclidean) transversely projective foliations. In this talk I will focus on the latter result, time permitting, I will show how the presence of a transverse structure (projective, hyperbolic, spherical...) and the analysis of the resulting monodromy representation allow to reduce to the case of modular foliations on Shimura varieties and to conclude.

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Hennenfent, Guillaume

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https://videos.cirm-math.fr/2020-05-25_Bianco.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletages
Event Organizers : Druel, Stéphane ; Pereira, Jorge Vitório ; Rousseau, Erwan
Dates : 18/05/2020 - 22/05/2020
Event Year : 2020
Event URL : https://www.chairejeanmorlet.com/2251.html

Citation Data

DOI : 10.24350/CIRM.V.19638003
Cite this video as: Lo Bianco, Federico (2020). On symmetries of transversely projective foliations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19638003
URI : http://dx.doi.org/10.24350/CIRM.V.19638003

See Also

[Virtualconference] Hyperkähler structures on symplectic realizations of holomorphic Poisson surfaces / Author of the conference Mayrand, Maxence.
[Virtualconference] MMP & foliations on 3-folds : applications / Author of the conference Svaldi, Roberto.
[Virtualconference] Regular foliations on rationally connected manifolds / Author of the conference Figueredo, João Paulo.
[Virtualconference] Boundedness of minimal partial du Val resolutions of canonical surface foliations / Author of the conference Chen, Yen-An.
[Virtualconference] Topics on the Poisson varieties of dimension at least four / Author of the conference Okumura, Katsuhiko.
[Virtualconference] A model-theoretic analysis of geodesic equations in negative curvature / Author of the conference Jaoui, Rémi.
[Virtualconference] Higher Ramanujan foliations / Author of the conference Jardim Da Fonseca, Tiago.
[Virtualconference] Dynamics of Jouanolou foliation / Author of the conference Deroin, Bertrand.
[Virtualconference] Complete holomorphic vector fields and their singular points - lecture 4 / Author of the conference Guillot, Adolfo.
[Virtualconference] Complete holomorphic vector fields and their singular points - lecture 3 / Author of the conference Guillot, Adolfo.
[Virtualconference] Complete holomorphic vector fields and their singular points - lecture 1 / Author of the conference Guillot, Adolfo.
[Virtualconference] Complete holomorphic vector fields and their singular points - lecture 2 / Author of the conference Guillot, Adolfo.
[Virtualconference] Fano foliations 3 - Classification of Fano foliations of large index - lecture 4 / Author of the conference Araujo, Carolina.
[Virtualconference] Fano foliations 1 - Definition, examples and first properties - lecture 2 / Author of the conference Araujo, Carolina.
[Virtualconference] MMP for co-rank1 foliations - lecture 2 / Author of the conference Spicer, Calum.
[Virtualconference] MMP for co-rank1 foliations - lecture 1 / Author of the conference Spicer, Calum.
[Virtualconference] MMP for foliations of rank one - lecture 2 / Author of the conference Cascini, Paolo.
[Virtualconference] An overview of the minimal model program - lecture 1 / Author of the conference Cascini, Paolo.
[Virtualconference] Codimension one foliation with pseudo-effective conormal bundle - lecture 3 / Author of the conference Touzet, Frédéric.
[Virtualconference] Codimension one foliation with pseudo-effective conormal bundle - lecture 2 / Author of the conference Touzet, Frédéric.
[Virtualconference] Codimension one foliation with pseudo-effective conormal bundle - lecture 1 / Author of the conference Touzet, Frédéric.
[Virtualconference] Holomorphic Poisson structures - lecture 4 / Author of the conference Pym, Brent.
[Virtualconference] Fano foliations 2 - Adjunction formula and applications - lecture 3 / Author of the conference Druel, Stéphane.
[Virtualconference] Fano foliations 0 - Algebraicity of smooth formal schemes and applications to foliations - lecture 1 / Author of the conference Druel, Stéphane.
[Virtualconference] Holomorphic Poisson structures - lecture 3 / Author of the conference Pym, Brent.
[Virtualconference] Holomorphic Poisson structures - lecture 2 / Author of the conference Pym, Brent.
[Virtualconference] Holomorphic Poisson structures - lecture 1 / Author of the conference Pym, Brent.

Bibliography

BIANCO, F. Lo, ROUSSEAU, Erwan, et TOUZET, Frédéric. Symmetries of Transversely Projective Foliations. arXiv preprint arXiv:1901.05656, 2019. - https://arxiv.org/abs/1901.05656

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