Seminarium Teorii Względności i Grawitacji

By applying the Loop Quantum Gravity techniques we recently showed that in 3 dimensions the symmetry of flat spacetime in quantum gravity becomes a non-trivial Hopf algebra deformation of the Poincare algebra, known as kappa-Poincare algebra. In my talk I will describe the steps that led us to this result and then I will briefly discuss its consequences for the theory of quantum gravity and quantum gravity phenomenology.