Organisers: Professor L Brambila-Paz (CIMAT, Mexico) (Chair), Professor P Newstead (Liverpool), Professor R Thomas (Imperial College London) and Professor O García-Prada (CSIC, Madrid)

Workshop Theme

The Theory of Moduli Spaces has experienced an extraordinary development in recent decades, finding an increasing number of mathematical connections with other fields of mathematics and physics. This school is an introduction to subjects of current interest related to moduli spaces. The aim of this school is to introduce young mathematicians to the foundations of the theory, some of its major developments and tools used for its study. The school will be directed at students and researchers in mathematics and physics interested in the subject. There will be a mixture of courses and lectures, informal discussions and/or problem sessions.

Courses for the School:

1. Introduction to derived categories and stability conditions (D. Huybrechts) 5-hour course
2. Introduction to moduli of varieties (V. Alexeev) 5-hour course
3. Introduction to stacks (K. Behrend) 4-hour course
4. Geometric Invariant Theory (B. Doran) 4-hour course
5. Deformation Theory (N. Nitsure) 3-hour course
6. Ringel-Hall algebras and applications to moduli (M. Reineke) 3-hour course
7. Representations of surface groups and Higgs bundles (P. Gothen) 3-hour course
8. Principal bundles (T. Gómez) 2-hour course
9. Augmented bundles (N. Hoffmann) 2-hour course
10. Moduli spaces and physics (E. Diaconescu) 1-hour lecture