Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics. The chapters in this volume - compiled on the occasion of his 60th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Inhaltsverzeichnis
Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk, Dedication. - Peter Albers, Serge Tabachnikov, Symplectically convex and symplectically star-shaped curves: A variational problem. - Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes, Louis Merlin, C^0-robustness of topological entropy for geodesic flows. - Luca Asselle, Marco Fenucci, Alessandro Portaluri, Bifurcations of balanced configurations for the Newtonian n-body problem in R^4. - Gabriele Benedetti, Jungskoo Kang, Relative Hofer Zehnder capacity and positive symplectic homology. - Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini, An Arnold-type prinicple for non-smooth objects. - Lev Buhovsky, Emmanuel Opshtein, Quantitative h-principle in symplectic geometry. - Franco Cardin, On symplectomorphisms and Hamiltonian Flows. - Roger Casals, Lagrangian skeleta and plane curve singularities. - Baptiste Chantraine, Reeb chords of Lagrangian Slices. - Marc Chaperon, Basic facts and naïve questions. - Erman Çineli, Viktor L. Ginzburg, Ba ak Z. Gürel, Another look at the Hofer-Zehnder conjecture. - Daniel Cristofaro-Gardiner, Richard Hind, Kyler Siegel, Higher symplectic capacities and the stabilized embedding problem for integral elllipsoids. - Guido de Philippis, Michele Marini, Marco Mazzucchelli, Stefan Suhr, Closed geodesics on reversible Finsler 2-spheres. - Michael Entov, Leonid Polterovich, Legendrian persistance modules and dynamics. - Jonathan David Evans, A Lagrangian Klein bottle you can't squeeze. - Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Construction of a linear K-system in Hamiltonian Floer theory. - Hansjörg Geiges, What does a vector field know about volume? - Paolo Ghiggini, Klaus Niederkrüger-Eid, On the symplectic fillings of standard real projective spaces. - Alexey Glutsyuk, On curves with the Poritsky property. - Jean Gutt, Michael Hutchings, Vinicius G. B. Ramos, Examples around the strong Viterbo conjecture. - Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring, Globalsurfaces of section with positive genus for dynamically convex Reeb flows. - Michael Hutchings, ECH capacities and the Ruelle invariant. - Kei Ire, Capacities of billiard tables and S^1-equivariant loop space homology. - Joontae Kim, Seongchan Kim, Myeonggi Kwon, Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities. - Myeonggi Kwon, Kevin Wiegand, Kai Zehmisch, Diffeomorphism type via aperiodicity in Reeb dynamics. - Patrice Le Calvez, Conservative surface homeomorphisms with finitely many periodic points. - Frédéric Le Roux, Sobhan Seyfaddini, The Anosov Katok method and pseudo-rotations in symplectic dynamics. - Agustin Moreno, Contact geometry in the restricted three-body problem: a survey. - Agustin Moreno, Otto van Koert, A generalized Poincaré Birkhoff theorem. - Georgios Dimitroglou Rizell, Families of Legendrians and Lagrangians with unbounded spectral norm. - Paul Seidel, Nicholas Wilkins, Covariant constancy of quantum Steenrod operations. - Vivek Shende, An algebraic approach to the algebraic Weinstein conjecture. - Matthew Strom Borman, Nick Sheridan, Umut Varolgunes, Quantum cohomology as a deformation of symplectic cohomology. - Fabian Ziltener, A symplectic embedding of the cube with minimal sections and a question by Schlenk.
