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E-grāmata: Symplectic Geometry: A Festschrift in Honour of Claude Viterbo's 60th Birthday

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  • Formāts: PDF+DRM
  • Izdošanas datums: 05-Dec-2022
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783031191114
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  • Formāts: PDF+DRM
  • Izdošanas datums: 05-Dec-2022
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783031191114

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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.
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 Humiličre, 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 naļve questions.- Erman Ēineli, 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. Salomćo, 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.