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In this seminar, I will give a pedagogical presentation of N=1 supersymmetry and N=1 supergravity, and some of their phenomenological implications in high-energy physics experiments such as the LHC or the Future Circular Collider (FCC).
The seminar will begin with a pedagogical overview of the theory, followed by a presentation of the mechanisms of supersymmetry breaking, with a specific focus on gravity-mediated solutions. Then, we will explore some experimental and phenomenological implications of N=1 supergravity in current and future collider experiments (more particularly at the LHC and in the project of future collider FCC). The implications of such a theory in astrophysical measurements will also be briefly discussed.