There are many approaches to Quantum Gravity. We have string theory (ST), loop quantum gravity (LQG), causal dynamical triangulations (CDT), causal set approach (CSA) and many others. There are some common features for all of these theories. We discussed them briefly. We claim that the mathematical apparatus for Quantum Gravity is hidden in foundations of ST, LQG and CSA. We formulate the RT-paradigm and we wrote a list of open issues.

# Seminar in Torino

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### johnynew

I was studying theoretical physics at the Charles university. I am interested in cosmological perturbation theory and mathematical methods of quantum gravity. I am also working in neuroscience. You could find my articles, for example, in online journal European Physical Journal C or mathematical journal Topology and its applications. I participated - during my Ph.D. - in many conferences, for example, in Odessa, Odessa International Astronomical Gamow Conference-School 2013, and cosmological conference Modern cosmology, CMB and LSS in Benasque 2014, or Winter School of Geometry and Physics in Srní 2015. Other my activity is playing the piano. I regularly give concerts. My favourite authors are S.Rachmaninoff, A.Scriabin and F.Chopin. You could find more informations at www.classicalprague.cz. View all posts by johnynew