## Program

The problem of merging quantum mechanics and general relativity is yet unsolved. At a fundamental level, general relativity and quantum theory seem to be contradictory and the theoretical framework of physics is still unaccomplished. It is necessary to combine these two ways of thinking into a single, even more fundamental, theoretical paradigm; this has been called “quantum gravity”. This step is also necessary for understanding extreme situations such as near the Big Bang or the black hole singularities. The school will give a general overview of the field of Quantum Gravity, of its main and most recent achievements and will propose new challenges and open questions that are looking for answers.

**Courses**

**QUANTUM COSMOLOGY** Abhay Ashtekar

**NON-COMMUTATIVE GEOMETRY AND QUANTUM GRAVITY** John Barrett

**BLACK HOLES** Eugenio Bianchi

**QUANTUM SPACE** Laurent Freidel

**ASYMPTOTIC SAFETY** Roberto Percacci

**COVARIANT LOOP QUANTUM GRAVITY** Carlo Rovelli