CIRM - Videos & books Library - Construction of lattices defining fake projective planes

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Authors : Cartwright, Donald I. (Author of the conference)
CIRM (Publisher )

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central simple algebra local class field theory questions from the audience

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Hennenfent, Guillaume

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https://videos.cirm-math.fr/2019-02-25_Cartwright_2.mp4

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Event Title : Ball quotient surfaces and lattices / Surfaces quotientes de la boule unité et réseaux
Event Organizers : Dzambic, Amir ; Möller, Martin ; Rito, Carlos ; Roulleau, Xavier
Dates : 25/02/2019 - 01/03/2019
Event Year : 2019
Event URL : https://conferences.cirm-math.fr/2103.html

Citation Data

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

[Multi angle] Construction of lattices defining fake projective planes - Lecture 8 / Author of the conference Steger, Tim.
[Multi angle] Construction of lattices defining fake projective planes - Lecture 7 / Author of the conference Steger, Tim.
[Multi angle] Construction of lattices defining fake projective planes - Lecture 6 / Author of the conference Cartwright, Donald I..
[Multi angle] Construction of lattices defining fake projective planes - Lecture 5 / Author of the conference Steger, Tim.
[Multi angle] Construction of lattices defining fake projective planes - Lecture 4 / Author of the conference Cartwright, Donald I..
[Multi angle] Construction of lattices defining fake projective planes - Lecture 3 / Author of the conference Steger, Tim.
[Post-edited] Construction of lattices defining fake projective planes - Lecture 1 / Author of the conference Cartwright, Donald I..

Bibliography

Cartwright, D.I., & Steger, T. (2017). Finding generators and relations for groups acting on the hyperbolic ball. - 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

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