Volume 21, issue 6 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 27
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Maximal representations, non-Archimedean Siegel spaces, and buildings

Marc Burger and Maria Beatrice Pozzetti

Geometry & Topology 21 (2017) 3539–3599
Bibliography
1 D Alessandrini, Tropicalization of group representations, Algebr. Geom. Topol. 8 (2008) 279 MR2443230
2 F Bruhat, J Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. 41 (1972) 5 MR0327923
3 G W Brumfiel, The real spectrum compactification of Teichmüller space, from: "Geometry of group representations" (editors W M Goldman, A R Magid), Contemp. Math. 74, Amer. Math. Soc. (1988) 51 MR957511
4 G W Brumfiel, The tree of a non-Archimedean hyperbolic plane, from: "Geometry of group representations" (editors W M Goldman, A R Magid), Contemp. Math. 74, Amer. Math. Soc. (1988) 83 MR957513
5 M Burger, A Iozzi, F Labourie, A Wienhard, Maximal representations of surface groups : symplectic Anosov structures, Pure Appl. Math. Q. 1 (2005) 543 MR2201327
6 M Burger, A Iozzi, A Wienhard, Surface group representations with maximal Toledo invariant, Ann. of Math. 172 (2010) 517 MR2680425
7 B Collier, Q Li, Asymptotics of Higgs bundles in the Hitchin component, Adv. Math. 307 (2017) 488 MR3590524
8 P Erdös, L Gillman, M Henriksen, An isomorphism theorem for real-closed fields, Ann. of Math. 61 (1955) 542 MR0069161
9 I Kaplansky, Linear algebra and geometry: a second course, Dover (2003) MR2001037
10 L Katzarkov, A Noll, P Pandit, C Simpson, Constructing buildings and harmonic maps, preprint (2015) arXiv:1503.00989
11 B Kleiner, B Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. 86 (1997) 115 MR1608566
12 L Kramer, S Shelah, K Tent, S Thomas, Asymptotic cones of finitely presented groups, Adv. Math. 193 (2005) 142 MR2132762
13 L Kramer, K Tent, Asymptotic cones and ultrapowers of Lie groups, Bull. Symbolic Logic 10 (2004) 175 MR2062416
14 I Le, Higher laminations and affine buildings, Geom. Topol. 20 (2016) 1673 MR3523066
15 G S Lee, T Zhang, Collar lemma for Hitchin representations, Geom. Topol. 21 (2017) 2243 MR3654108
16 A H Lightstone, A Robinson, Nonarchimedean fields and asymptotic expansions, North-Holland (1975) MR0414354
17 G Lion, M Vergne, The Weil representation, Maslov index and theta series, 6, Birkhäuser (1980) MR573448
18 J Loftin, Convex P2 structures and cubic differentials under neck separation, preprint (2015) arXiv:1506.03895
19 R Mazzeo, J Swoboda, H Weiss, F Witt, Ends of the moduli space of Higgs bundles, Duke Math. J. 165 (2016) 2227 MR3544281
20 A Parreau, Immeubles affines : construction par les normes et étude des isométries, from: "Crystallographic groups and their generalizations" (editors P Igodt, H Abels, Y Félix, F Grunewald), Contemp. Math. 262, Amer. Math. Soc. (2000) 263 MR1796138
21 A Parreau, Sous-groupes elliptiques de groupes linéaires sur un corps valué, J. Lie Theory 13 (2003) 271 MR1958586
22 A Parreau, Compactification d’espaces de représentations de groupes de type fini, Math. Z. 272 (2012) 51 MR2968214
23 A Parreau, Invariant subspaces for some surface groups acting on A2–Euclidean buildings, preprint (2015) arXiv:1504.03775
24 A Robinson, Function theory on some nonarchimedean fields, Amer. Math. Monthly 80 (1973) 87 MR0330126
25 I Satake, Algebraic structures of symmetric domains, 4, Iwanami Shoten (1980) MR591460
26 C L Siegel, Symplectic geometry, Amer. J. Math. 65 (1943) 1 MR0008094
27 T Strubel, Fenchel–Nielsen coordinates for maximal representations, Geom. Dedicata 176 (2015) 45 MR3347573
28 B Thornton, Asymptotic cones of symmetric spaces, PhD thesis, The University of Utah (2002) MR2703231
29 T Zhang, The degeneration of convex ℝℙ2 structures on surfaces, Proc. Lond. Math. Soc. 111 (2015) 967 MR3477227
30 T Zhang, Degeneration of Hitchin representations along internal sequences, Geom. Funct. Anal. 25 (2015) 1588 MR3426063