Laurent Manivel Title: On the automorphisms of Mukai varieties Abstract: Mukai varieties of genus 7 to 10 are Fano varieties that can be obtained as linear sections of rational homogeneous varieties. For certain critical dimensions, their generic automorphisms groups turn out to be non trivial finite groups made of involutions and order three elements. Surprisingly, the existence of these unexpected automorphisms is related to the theory of theta-groups (joint work with Thomas Dedieu).