Analogies entre espaces hyperboliques réels et l’arbre de Bruhat-Tits sur p

Philippe Gille

Séminaire de théorie spectrale et géométrie (1990-1991)

  • Volume: 9, page 95-101
  • ISSN: 1624-5458

How to cite

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Gille, Philippe. "Analogies entre espaces hyperboliques réels et l’arbre de Bruhat-Tits sur $\mathbb {Q}_p$." Séminaire de théorie spectrale et géométrie 9 (1990-1991): 95-101. <http://eudml.org/doc/114317>.

@article{Gille1990-1991,
author = {Gille, Philippe},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Bruhat-Tits tree; harmonic function; Poisson integral formula; Dirichlet problem},
language = {fre},
pages = {95-101},
publisher = {Institut Fourier},
title = {Analogies entre espaces hyperboliques réels et l’arbre de Bruhat-Tits sur $\mathbb \{Q\}_p$},
url = {http://eudml.org/doc/114317},
volume = {9},
year = {1990-1991},
}

TY - JOUR
AU - Gille, Philippe
TI - Analogies entre espaces hyperboliques réels et l’arbre de Bruhat-Tits sur $\mathbb {Q}_p$
JO - Séminaire de théorie spectrale et géométrie
PY - 1990-1991
PB - Institut Fourier
VL - 9
SP - 95
EP - 101
LA - fre
KW - Bruhat-Tits tree; harmonic function; Poisson integral formula; Dirichlet problem
UR - http://eudml.org/doc/114317
ER -

References

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  1. [1] MANIN Y. - Three dimensional hyperbolic geometry as ∞-adic Arakelov geometry, IHES, 1990. Zbl0754.14014MR1098608
  2. [2] ZABRODIN A.V. - Non archimedean strings and Bruhat-Tits Trees, (Commun Math Phys) 125 , 1989. Zbl0676.22006MR1003429
  3. [3] SERRE J. P. - Arbres, amalgames et SL2, (Astérisque 46). Zbl0369.20013
  4. [4] CARTIER P. - Géométrie et analyse sur les arbres, Séminaire Bourbaki 407 , 1972. Zbl0267.14010MR425032
  5. [5] MORGAN J. W., SHALEN P.B. - Hyperbolic Structures, Annals of Maths, 1984. 

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