Antoine Clais |
Research topics |
My work is related to the following topics: hyperbolic groups, Coxeter groups, buildings, cube complexes, quasi-conformal analysis on boundaries, combinatorial modulus of curves, conformal dimension and combinatorial Loewner property. More precisly, I study the quasi-conformal structures on boundaries of hyperbolic groups. Following ideas of Mostow, Gromov and Pansu, these properties can imply rigidity phenomenon in the group. In particular, I work on boundaries of right-angled hyperbolic buildings of dimension 3 and 4 whose boundaries that are highly suspected to be QI-rigid. These researches have excited my curiosity in the theories of buildings, hyperbolic geometry and hyperbolic groups and generalizations. Here are a conference poster and some slides of talk both about combinatorial properties of boundaries of hyperbolic buildings. |
Papers |
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