Symplectic Geometry

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.

Honors the many mathematical achievements of Claude Viterbo Features contributions from distinguished mathematicians Explores the latest developments in symplectic geometry/topology and Hamiltonian dynamics

Contenu
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 HoferZehnder 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, Baak 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 AnosovKatok 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 PoincaréBirkhoff 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.