Rigidity, Dynamics, and Group Actions

Resource List

• Preprints available from home page (click here).
  

• The talk was based on
  Cheeger constants and algebraic entropy of linear groups (with T. Gelander).
       Available from home page (click here) or the arXiv (click here).
  

• Two papers are concerned with the Zimmer Conjecture:
• Version kaehlérienne d'une conjecture de Robert J. Zimmer
       Ann. Scient. Ec. Norm. Sup. (2004), no. 37, p. 759-768.
       PS file available from homepage (click here).
• Groupes d'automorphismes polynomiaux du plan (with S. Lamy).
       PS file available from homepage (click here).
  

• Asymptotic behaviour under iterated random linear transformations (with R. Shah).
       Mathematical Research Letters 11 (2004), 467–480.
       Available from the journal's web page (click here).

• Preprints available from home page (click here).

• Transparencies of the lecture in PDF format (click here)
  
• The talk referenced 2 papers:
  
• Hidden symmetries and arithmetic manifolds (with S. Weinberger),
       to appear in Robert Brooks Memorial conference proceedings, May 2004.
       Available from home page (click here) or the arXiv (click here).
• Isometries, rigidity and universal covers (with S. Weinberger),
       preprint, June 2005.
       Available from home page (click here) or the arXiv (click here).

• Transparencies of the lecture in PDF format (click here)
  
• The most relevant paper is
  Dynamics on the space of harmonic functions and the foliated Liouville property (with G. Zeghib).
       Available from home page (click here) or the arXiv (click here).

• See primarily the following two preprints listed on home page (click here):
  
• First cohomology, rigidity and deformations of isometric group actions (announcement).
       Available from the arXiv (click here).
• First cohomology and local rigidity of group actions.
       Available from the arXiv (click here).

• Transparencies of the lecture in PDF format (click here)
  

• Preprints available from home page (click here).

• The lecture was videotaped, and is expected to be made available on the BIRS website.

• Cheeger constants and algebraic entropy of linear groups (with E. Breuillard).
       Breuillard spoke on this paper.
       Available from Breuillard's home page (click here) or the arXiv (click here).
• Property (T) and rigidity for actions on Banach spaces (with U. Bader, A. Furman, and N. Monod).
       Available from the arXiv (click here).
  

• Transparencies of the lecture in PDF slide show format (click here)
• Preprints are available from home page (click here).
  

• The paper discussed in the lecture is:       new August 29
       An extension of quantitative nondivergence and applications to Diophantine exponents
  
• Preprints available from home page (click here).
  

• Preprints available from home page (click here).
  

• Ratner's Theorems on Unipotent Flows
       University of Chicago Press, 2005.
       PDF file available from home page (click here) or the arXiv (click here).
       Can buy from the U of C Press (click here) / to download a one-page flyer, click here.
  
• Introduction to Arithmetic Groups (book in preparation)
       Available from home page (click here) or the arXiv (click here).
• Chapter on Actions on the Circle (click here).
• Chapter on Bounded Generation (click here).

• Equidistribution of rational matrices in their conjugacy classes (with Y. Benoist).
       Available from home page (click here).
• Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary (with A. Gorodnik).
       PS file available from home page (click here).

• Transparencies of the lecture scanned to PDF format 3.4MB (click here).       new August 15
• References:
  
• Calabi quasimorphism and quantum homology (with M. Entov),
       Intern. Math. Res. Notices 30 (2003), 1635-1676.
       Available from the arXiv (click here).
• Calabi quasimorphisms for the symplectic ball (with P. Biran and M. Entov),
       Commun. Contemp. Math. 6 (2004), 793-802.
       Available from the arXiv (click here).
• Quasi-states and symplectic intersections (with M. Entov),
       to appear in Commentarii Mathematici Helvetica.
       Available from the arXiv (click here).
• Floer homology, dynamics and groups.

• Strong rigidity of II₁ factors arising from malleable actions of w-rigid groups, I.
       Available from the arXiv (click here).

• The Congruence Subgroup Problem.
       Proc. Indian Acad. Sci. (Math. Sci.) 114, no. 4, November 2004, pp. 299–308.
       This short survey for non-specialists is available from the journal's web page (click here).

• Unique ergodicity for non-uniquely ergodic horocycle flows (with F. Ledrappier).
       Available from home page (click here).
• Invariant measures for the horocycle flow on periodic hyperbolic surfaces (with F. Ledrappier).
       Available from home page (click here).

• The work spoken about can be found in preliminary form in:
  Simplicial volume of closed locally symmetric spaces of non-compact type v3 (with J.-F. Lafont).
       Available from the arXiv (click here).

• Values of decomposable forms at S-integer points and tori orbits on homogeneous spaces.
       Available from the arXiv (click here).

• Transparencies of the lecture in PDF format (click here)