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After a decade of consensus around the standard cosmological model, LambdaCDM, more precise data have triggered the emergence of multiple tensions in cosmology. Tensions can hint either at misunderstood systematics or new physics. I will review the current status of the main ones: the Hubble tension, the lack of evidence for massive neutrinos, and recent indications for dynamical dark energy. I will also comment on the difficulty to find a working and plausible theoretical solution to these problems, at least according to our current understanding.