The two parts of the present volume contain extended conference abstracts corresponding to
selected talks given by participants at the Conference on Hamiltonian Systems and Celestial
Mechanics 2014 (HAMSYS2014) (15 abstracts) and at the Workshop on Virus Dynamics and Evolution
(12 abstracts) both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 2nd
to 6th 2014 and from June 23th to 27th 2014 respectively. Most of them are brief articles
containing preliminary presentations of new results not yet published in regular research
journals. The articles are the result of a direct collaboration between active researchers in
the area after working in a dynamic and productive atmosphere. The first part is about Central
Configurations Periodic Orbits and Hamiltonian Systems with applications to Celestial
Mechanics - a very modern and active field of research. The second part is dedicated to
mathematical methods applied to viral dynamics and evolution. Mathematical modelling of
biological evolution currently attracts the interest of both mathematicians and biologists.
This material offers a variety of new exciting problems to mathematicians and reasonably
inexpensive mathematical methods to evolutionary biologists. It will be of scientific interest
to both communities. The book is intended for established researchers as well as for PhD and
postdoctoral students who want to learn more about the latest advances in these highly active
areas of research.