This school, whose topics lie at the threshold of geometry, topology, algebra and quantum field theory, is the eleventh of a series of summer schools organised in Colombia every other year since July 1999. It is addressed to both physicists and mathematicians with a master’s level in either of the fields and offers courses on the following topics:
- Fully extended topological field theories by D. Calaque,
- Ruelle and quantum resonances by C. Guillarmou
- Double Field Theory by C. Nuñez
- Mathematical aspects of perturbative quantum field theory by K. Rejzner
- Random Matrices and Tensors by V. Rivasseau
- Topological Finite Group Gauge Theories by P. Putrov.
Additional introductory courses will be offered, that are meant to fill in specific knowledge gaps for students of one discipline mathematics or physics, in the other discipline.
Official language of the school: English (and occasionally Spanish)