An invitation to quantum gravity.
Laurent Freidel, Perimeter Institute

In this talk I will present the problem of quantum gravity from a broad perspective .
I will try to emphasize what are the challenges that one face when addressing this question and what are the different routes one can take to address them.
I will then focus on one approach sometimes called loop quantum gravity which focus on one core issue: background independence. Namely the fact that the geometry of space time is a dynamical entity whose nature at the quantum scale needs to be determined dynamically.

I will review some of the main ideas of this approach for instance the fact that one can associate discrete quantum states to what one would call space in the classical realm. I will also present some of the results obtained in this approach concerning for instance, black holes, cosmology or the coupling to matter.
I’ll try to outline some of the many challenges that lies ahead.

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