Antoine Song

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20232026

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math.DG2024

Hyperbolic groups and spherical minimal surfaces

Antoine Song

Let $M$ be a closed, oriented, negatively curved, $n$ -dimensional manifold with fundamental group $Γ$ . Let $S^{\infty}$ be the unit sphere in $ℓ^{2} (Γ)$ , on which $Γ$ acts by the re…

math.DG2024

Random harmonic maps into spheres

Antoine Song

Let $S$ be a punctured Riemann surface with Euler characteristic $χ (S) < 0$ . For any unitary representation $ρ : π_{1} (S) \to U (N)$ , we introduce its renormalized energy and its harmoni…