The standard cosmological model (LCDM) has shown a great ability to explain cosmological observations throughout the past 3 decades. Despite this, several of its component are still a mystery from the theoretical point of view; together with the observational tensions recently found between different measurements of its parameters, this motivates the search for alternative models or, at least, a thorough testing of LCDM.

In this talk, I will focus mostly on tests of one of the crucial assumptions done in cosmology, i.e. that General Relativity is a good description of gravity at cosmological scale, showing recent constraints and how upcoming surveys might improve our knowledge.

In addition to this I will also show results on other more fundamental assumptions, namely the validity of the Distance Duality Relation and on the possible variation of the fine-structure constant. Finally, I will also briefly summarize how new cosmological observables might shed new light on the dark component of the standard cosmological model.

Per connettersi a zoom: https://infn-it.zoom.us/j/93341311520?pwd=RklTcFFVWjdtUzR5TUZKM3V1TjJiQT09