The fifth edition of the Patricio Letelier School on Mathematical Physics at ICTP-SAIFR will focus on recent advances in the use of formal mathematical methods in quantum field theory and gravity. In particular, it will explore two key areas — operator algebras and matrix models — and their applications to the study of quantum fields, quantum gravity, and generalized symmetries.

Topics will include the use of algebraic methods to address problems such as symmetries and measurement, black hole thermodynamics, and entropy formulas, as well as the role of matrix models and topological recursion in understanding black hole spectra.

The School is primarily aimed at PhD students but will also be accessible and relevant to advanced undergraduate and master’s students, as well as early-career postdoctoral researchers.

Application deadline: May 19, 2026

Online application and more information: https://www.ictp-saifr.org/plsmp2026/