This proposed school is the sixth of a series that started in 2004. It takes place in combination with a workshop on the same topic (time-dependent density-functional theory, TDDFT), at the "Centro de Ciencias de Benasque Pedro Pascual" ("Pedro Pascual Benasque Center for Science"), in the village of Benasque, Spain. The idea is to have a school first, in which a very intense introduction to the theory, practice, and numerical implementation of TDDFT. Then, the workshop covers all the main aspects by the leading experts, which includes most of the school teachers. All the students of the school are expected to participate in the workshop, in order to learn about the state-of-the-art of the subject, after being exposed to the fundamentals.

This combination of events has proved to be very fruitful, and has motivated us to continue the series, with bi-yearly periodicity. The most efficient scheme for training young researchers in these techniques is to have a school where the basic theory is taught, followed by a workshop that introduces them to the forefront research in the field. The school should have an equal share of theoretical and practical classes. This eases the learning of the techniques and provides the students with the practical knowledge of the numerical aspects and difficulties, at the same time introducing them to well-established open source numerical codes. At the end of the school, students should have sufficient working knowledge to pursue their projects at their home institution. During the school we will incentive a close and informal contact between the students and the teachers. Furthermore, the students will be stimulated to talk about their current research activities and future interests. We feel that this is an important point, since young scientists should be involved in the building up of a strong community.

The topics to be covered at the theoretical lessons are:

1. Introduction to "standard" ground-state DFT.
2. TDDFT: Fundamentals, and advanced topics.
3. Spectroscopy, from an experimentalist's perspective.
4. Introduction to Many-Body quantum physics.
5. GW
6. Bethe-Sapether.
7. Non-linear response within TDDFT.
8. Non-perturbative quantum dynamics.
9. Approaches to molecular electronics.
10. TDDFT from the Chemist's perspective.
11. Perspectives, standing problems.

In addition, we will reserve hours to Q&A discussions.

Regarding the practical sessions, we will divide them into three groups:

1. Introduction to scientific coding for electronic-structure calculations.
2. Tutorial on TDDFT calculations with the octopus code.
3. Beyond TDDFT with the BerkeleyGW code.