Seminar on CAT(0) Cubical Complexes
Please note that this page is old.
Check in the
VVZ for a current information.
Organizer
|
Prof. Alessandra Iozzi
|
Place
|
HG G 19.2
|
Time
|
Monday, 15:15-17:00
|
Beginning
|
28.02.2011
|
Description
|
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.
|
Schedule of talks
Date
|
Speaker
|
Topic
|
28.02.
|
Enrico Le Donne
|
CAT(0) spaces, Cartan-Hadamard theorem, I
|
07.03.
|
Enrico Le Donne
|
CAT(0) spaces, Cartan-Hadamard theorem, II
|
14.03.
|
Pascal Rolli
|
cubical complexes, hyperplanes I
|
21.03.
|
Enrico Le Donne
|
the link condition
|
|
Pascal Rolli
|
hyperplanes II
|
28.03.
|
Pascal Rolli
|
hyperplanes III, actions of Kazhdan groups
|
04.04.
|
Alessandra Iozzi
|
pocsets, ultrameasures, Roller duality
|
11.04.
|
Ruth Charney
|
flipping, skewering I
|
18.04.
|
Ruth Charney
|
flipping, skewering II
|
02.05.
|
Ruth Charney
|
flipping, skewering III
|
09.05.
|
Ruth Charney
|
the irreducibility criterion
|
16.05.
|
Maria Hempel
|
rank rigidity
|
23.05.
|
Christian Lieb
|
applications
|
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]