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Global Research Directions and Interests

I work with global invariants (among which my favorite: the volume entropy) of Riemannian manifolds, with an emphasis on symmetric spaces. That's why I also care about Lie groups and their discrete subgroups. One of my strongest motivations is to understand what is rigid (and why?) and what is flexible (and how much?). Sharpest geometric inequalities are mostly achieved by somewhat irregular metrics, taking me sometimes beyond the scope of classical Riemannian geometry. For more details, check my research program, the short version here and the extended version here (both in French).

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