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Seminar on CAT(0) Cubical Complexes
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Organizer
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Prof. Alessandra Iozzi
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Place
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HG G 19.2
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Time
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Monday, 15:15-17:00
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Beginning
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28.02.2011
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Description
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The aim of this working seminar is to obtain a good hands-on knowledge of CAT(0) cubical complexes. We will start from the very beginning, having as a goal the rank rigidity theorem of Caprace-Sageev. As an application we will study the Poisson boundary of a group acting on a CAT(0) cubical complex.
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Schedule of talks
Date
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Speaker
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Topic
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28.02.
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Enrico Le Donne
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CAT(0) spaces, Cartan-Hadamard theorem, I
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07.03.
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Enrico Le Donne
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CAT(0) spaces, Cartan-Hadamard theorem, II
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14.03.
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Pascal Rolli
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cubical complexes, hyperplanes I
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21.03.
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Enrico Le Donne
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the link condition
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Pascal Rolli
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hyperplanes II
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28.03.
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Pascal Rolli
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hyperplanes III, actions of Kazhdan groups
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04.04.
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Alessandra Iozzi
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pocsets, ultrameasures, Roller duality
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11.04.
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Ruth Charney
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flipping, skewering I
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18.04.
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Ruth Charney
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flipping, skewering II
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02.05.
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Ruth Charney
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flipping, skewering III
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09.05.
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Ruth Charney
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the irreducibility criterion
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16.05.
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Maria Hempel
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rank rigidity
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23.05.
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Christian Lieb
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applications
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Literature
- M.R. Bridson, A. Haefliger: Metric spaces of non-positive curvature.
Grundlehren der Mathematischen Wissenschaften, 319. Springer-Verlag, 1999.
- J. Brodzky, S.J. Campbell, E. Guentner, G. Niblo, N.J. Wright: Property A and CAT(0) cube complexes, J. Funct. Anal.
256
(2009),
no. 5, 1408–1431. [Link]
- P.E. Caprace, M. Sageev: Rank rigidity for CAT(0) cube complexes, arXiv:1005.5687.
- I.L. Chatterji,
G.A. Niblo: From wall spaces to CAT(0) cube complexes, arXiv:math/0309036.
- D. Guralnik: Coarse decompositions of boundaries for CAT(0) groups, arXiv:math/0611006.
- G.A. Niblo, L. Reeves: Groups acting on CAT(0) cube complexes, arXiv:math/9702231.
- G.A. Niblo, L. Reeves: The geometry of cube complexes and the complexity of their fundamental groups, Topology 37
(1998),
no. 3, 621–633. [Link]
- M. Roller: Poc sets, median algebras and group actions, Habilitation Thesis.
- M. Sageev: Ends of group pairs and non-positively curved cube complexes, Proc. London Math. Soc. (3) 71 (1995), no. 3, 585–617. [Link]
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