I will start with a review the basic notions of
Hamiltonian/symplectic vector field and of Hamiltonian/symplectic
group action, and the classical structure theorems of Kostant,
Atiyah, Guillemin-Sternberg and Delzant on Hamiltonian torus
actions...
GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR
Some automorphic forms, despite the fact they are algebraic, do
not have any interpretation as cohomology classes on a Shimura
variety: therefore nothing is known at present on their
expected...
This talk will be a progress report on an ongoing research
project which is joint work with Ajay Chandra and Gianluca Guadagni
and which concerns a p-adic analog of the Brydges-Mitter-Scoppola
phi-4 model with...
In this talk we shall discuss the Cartan geometry of the
rotating Kepler problem. The rotating Kepler problem appears as the
limit of the restricted planar three-body body when one of the
masses goes to zero. As such...
The restricted 3-body problem has an intriguing dynamics. A deep
observation of Jacobi is that in rotating coordinates the problem
admits an integral. In joint work with P. Albers, G. Paternain and
O. van Koert, we...
The problem of capture in the planar restricted three-body
problem is addressed. In particular, weak capture is described,
which occurs at a complicated region called the weak stability
boundary, where the motion is...
Periodic bounce orbits are generalizations of billiard
trajectories in the presence of a potential. Using an approximation
technique by Benci-Giannoni we prove existence of periodic bounce
orbits of prescribed energy. At...
