Construction of lattices defining fake projective planes - Lecture 2 | Vidéo | Carmin.tv

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Construction of lattices defining fake projective planes - Lecture 2

By Donald I. Cartwright

Appears in collection : Ball quotient surfaces and lattices / Surfaces quotientes de la boule unité et réseaux

Information about the video

Date of recording 25/02/2019
Date of publication 08/03/2019
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19496103
Cite this video Cartwright, Donald I. (25/02/2019). Construction of lattices defining fake projective planes - Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19496103
URL https://dx.doi.org/10.24350/CIRM.V.19496103

Domain(s)

Bibliography

Cartwright, D.I., & Steger, T. (2017). Finding generators and relations for groups acting on the hyperbolic ball. <arXiv:1701.02452> - https://arxiv.org/abs/1701.02452
Cartwright, D.I., & Steger, T. (2010). Enumeration of the 50 fake projective planes. Comptes Rendus. Mathématique. Académie des Sciences, Paris, 348(1-2), 11-13 - https://doi.org/10.1016/j.crma.2009.11.016
Ishida, M.-N., & Kato, F. (1998). The strong rigidity theorem for non-Archimedean uniformization. Tohoku Mathematical Journal. Second Series, 50(4), 537-555 - https://doi.org/10.2748/tmj/1178224897
Keum, J. (2006). A fake projective plane with an order 7 automorphism. Topology, 45(5), 919-927 - https://doi.org/10.1016/j.top.2006.06.006
Mumford, D. (1979). An algebraic surface with K ample, $(K^2)=9, p_g=q=O$. American Journal of Mathematics, 101, 233-244 - https://doi.org/10.2307/2373947
Prasad, G., & Yeung, S.-K. (2007). Fake projective planes. Inventiones Mathematicae, 168(2), 321-370 - https://doi.org/10.1007/s00222-007-0034-5
Prasad, G., & Yeung, S.-K. (2010). Addendum to “Fake projective planes” Invent. Math. 168, 321-370 (2007). Inventiones Mathematicae, 182(1), 213-227 - https://doi.org/10.1007/s00222-010-0259-6
Prasad, G. (1989). Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad. Publications mathématiques de l'IHÉS, 69, 91-117 - https://doi.org/10.1007/BF02698841
Weil, A. (1974). Basic number theory. 3rd ed. Berlin, Heidelberg: Springer-Verlag - http://dx.doi.org/10.1007/978-3-662-05978-4
Zimmer, R.J. (1984). Ergodic theory and semisimple groups. Boston, MA: Birkhäuser - http://dx.doi.org/10.1007/978-1-4684-9488-4

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2103/Slides/luminyslides4.pdf

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