September 01, 2026 | 8:00am - April 30, 2027 | 5:00pm
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09/01/2026 08:00
04/30/2027 17:00
Special Year on Conformally Symplectic Dynamics and Geometry
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More: https://www.ias.edu/math/events/special-year-conformally-symplectic-dynamics-and-geometry
During the 2026-27 academic year the School will have a special
program on Conformally Symplectic Dynamics and Geometry. Michael
Hutchings, University of California, Berkeley will be the
Distinguished Visiting Professor.
The purpose of this special year is to investigate the relations of
conformally symplectic dynamics with classical symplectic dynamics, to
understand the new phenomena that appear, and to develop associated
geometric structures, such as locally conformal symplectic manifolds.
Symplectic dynamics studies the dynamics of symplectic maps,
Hamiltonian vector fields, and Reeb vector fields on contact
manifolds. There have been some recent breakthroughs in symplectic
dynamics using Floer theoretic techniques, for example the proofs of
smooth closing lemmas in low dimensions. Conformal symplectic dynamics
is an extension of symplectic dynamics in which the symplectic form is
rescaled and not necessarily preserved, which allows for dissipative
behavior. Some well established results of symplectic dynamics have
natural extensions to the conformal setting (for example KAM theory,
Aubry-Mather subsets, Arnold diffusion, and rigidity results for
invariant manifolds), while there are new phenomena special to the
dissipative case, such as Birkhoff attractors.
The goal of the program is to bring together experts in symplectic
geometry, dynamics, PDE, and applications, in order to exchange ideas
between subfields and develop the broader world of conformally
symplectic dynamics and geometry.
Senior participants: Marie-Claude Arnaud, Immaculada Baldomá Barraca,
Jacques Fejoz, Marian Gidea, Marco Mazzucchelli, Tere Seara, Alfonso
Sorrentino, Claude Viterbo, Maxime Zavidovique.
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