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Speaker: Mariam Bouhmadi-López (UBI) Abstract: In this talk, we will analyse the quantum behaviour of the different dark energy related singularities (or abrupt events). The quantisation will be carried within the geometro-dynamical approach given by the Wheeler–DeWitt (WDW) equation. The classical model will be based on a Friedmann–LemaîtreRobertson–Walker Universe filled by a perfect fluid that can be mapped to a scalar field. We will apply appropriate boundary conditions that could smooth or avoid the singularity at the quantum level. The talk will be mainly based on our works: JCAP 1511 (2015) 11 044, JCAP 1508 (2015) 08 051, Phys.Rev. D89 (2014) 6 064016 and Phys.Rev. D79 (2009) 124035.