Contents -- Preface -- Organizing Committees -- Characterization of the uniform perfectness of diffeomorphism groups preserving a submanifold Kojun Abe & Kazuhiko Fukui -- 1. Introduction and statement of results -- 2. Proof of Theorem 1 -- 3. Proof of Theorem 2 -- References -- Recent progress in geometric foliation theory Marek Badura & Maciej Czarnecki -- 1. Introduction -- 2. Existence of foliations of prescribed properties -- 3. Totally geodesic foliations -- 4. Umbilical and constant mean curvature foliations -- 5. Conformal geometry of foliations -- 6. Geometric dynamics of foliations -- References -- A class of dimensional type estimations of topological entropy of groups and pseudo groups Andrzej Bis -- 1. Introduction -- 2. Topological entropy of a finitely generated pseudogroup -- 3. Hausdorff dimension and Caratheodory dimension structures -- 3.1. Hausdorff dimension -- 3.2. Caratheodory dimension structure -- 3.3. Caratheodory capacity of sets -- 3.4. Topological entropy coincides with a capacity of some C-structure -- 4. A new class of entropy-like invariants for pseudogroups -- 4.1. Upper capacity of a C-structure ((H, H1), f) -- 5. Estimations of geometric entropy of foliations -- Acknowledgment -- References -- The sutured Thurston norm John Cantwell & Lawrence Conlon -- 1. Introduction -- 2. Cones of fibrations and foliations -- 3. Doubling -- 3.1. The doubling map -- 3.2. The Thurston norm -- 3.3. Inducing fibrations on DM -- 4. Sutured handlebodies -- 5. Computing the sutured Thurston norm -- 6. Examples -- 6.1. The Thurston ball -- 6.2. The foliation cones -- References -- Foliations of S3 by Dupin cyclides Remi Langevin & Jean-Claude Sifre -- 1. Introduction -- 2. Classical foliation of S3 by tori and Hopf fibration -- 2.1. A foliation of S3 by tori -- 2.2. Tori in S3 and Hopf fibration -- 3. Villarceau foliations of S3.

3.1. Hopf foliation of S3 -- 3.2. Dupin cyclides and Villarceau foliations -- 4. The space of spheres and its completion -- 4.1. The space of spheres -- 4.2. The projective completion of 4 -- 4.3. Sister conics in 4 -- 4.4. Action of U on 4 by Lie sphere transformations -- 5. Foliations by cyclides tangent along a curve -- 5.1. Contact elements and cyclides -- 5.2. Contacts and cyclides -- 5.3. Proof of the three contact theorem -- 5.4. Proof of the foliation by tangent cyclides theorem (Theorem 2) -- 6. Detailed description of the foliations -- 6.1. Singularities of the leaves: the Villarceau case -- 6.2. Singularities of the leaves: the non-Villarceau case -- 6.3. Singularities of the leaves: portrait of the family -- 7. Appendix -- 7.1. Determination of a Lie sphere transformation by its restriction to conics -- 7.2. A one parameter group of Lie sphere transformations -- References -- Transverse invariant measures extend to the ambient space Carlos Menino Coton -- 1. Introduction -- 2. Measurable laminations -- 3. Case of a product foliated measurable space -- 4. The general case -- References -- On a Poincare lemma for foliations Eva Miranda & Romero Solha -- 1. Introduction -- 2. Singular foliations given by nondegenerate integrable systems -- 3. A singular Poincare lemma for a deformation complex -- 4. Homotopy operators and a regular Poincare lemma for foliated cohomology -- 4.1. Foliated cohomology -- 4.2. Geometric Quantization a la Kostant -- 5. The singular case -- 5.1. Singular foliated cohomology -- 5.2. Analytical tools: special decomposition of smooth functions -- 5.3. Computation of foliated cohomology groups -- References -- Compact generation for topological groupoids Nicolas Raimbaud -- 1. Introduction -- 2. Preliminaries -- 3. Compact generation -- 4. Relation to compactly generated pseudogroups.

5. The case of foliated manifolds -- References -- Prescribing the positive mixed scalar curvature of totally geodesic foliations Vladimir Rovenski & Leonid Zelenko -- 1. Introduction -- 1.1. Extrinsic geometry of foliations -- 1.2. The mixed scalar curvature -- 1.3. Flows of metrics on foliations -- 1.4. The structure of the paper -- 2. Main results -- 3. Auxiliary results: PDEs on a closed Riemannian manifold -- 3.1. The ground state of the Schrodinger operator -- 3.2. The forced Burgers equation -- 3.3. The Schrodinger operator with parameter -- 4. Proof of the main results -- 4.1. Preliminaries -- 4.2. D-conformal adapted variations of metrics -- 4.3. Proofs of Propositions 1-2, Theorem 1 and Corollaries 1-2 -- 4.4. One-dimensional case -- 4.5. Applications to surfaces -- 5. Appendix: Operators in Banach spaces -- 5.1. An isolated eigenvalue of a linear operator with parameter -- 5.2. More lemmas -- References -- Tautness and the Godbillon-Vey class of foliations Pawe l G. Walczak -- 1. Introduction -- 2. A formula -- 3. Tautness -- 4. A generalization -- 5. Invariants -- References -- Local and global stability of leaves of conformal foliations Nina I. Zhukova -- 1. Basic concepts and results -- Local stability of leaves and foliations -- The leaf stability of Riemannian foliations -- Criterions of the local stability of leaves of conformal foliations -- The problem of local stability of compact foliations -- Global stability of a compact leaf of foliations with quasi analytical pseudogroup -- Global leaf stability of conformal foliations -- 2. Cartan foliations. Holonomy and completeness -- Ehresmann connection for foliations -- Cartan foliations -- Completeness -- 3. Proofs of statements for Riemannian foliations -- 4. Proofs of other theorems and their corollaries -- 5. Examples -- References -- Problem set Steven Hurder -- 1. Introduction.

2. Jesus Alvarez Lopez -- Furstenberg type structure theorem for distal foliated spaces -- 3. Andrzej Bis -- Multifractal analysis of dynamics of foliated manifolds -- 4. Helene Eynard-Bontemps -- Surface group representations -- 5. Steven Hurder -- Exceptional minimal sets -- 6. Victor Kleptsyn -- Anosov questions -- 7. Remi Langevin -- Conformal geometry of foliations -- 8. Yoshifumi Matsuda -- Rotation numbers -- 9. Gael Meigniez -- Lie foliations modeled on G -- 10. Eva Miranda -- Symplectic foliations -- 11. Yoshuhiko Mitsumatsu -- 11.1. Leafwise symplectic foliations on S5 -- 2-calibration and tautness -- Moduli for leafwise complex structures -- Flat surface bundles -- 12. Hiraku Nozawa -- Secondary invariants -- 13. Paul Schweitzer -- Space of foliations -- Ends of leaves -- 14. Takashi Tsuboi -- Commutator width -- 15. Vladimir Rovenski -- Totally geodesic foliations -- References -- List of Participants -- Program -- Author Index.