Maxime Bergeron

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20132019

most citedThe topology of nilpotent representations in reductive groups and their maximal compact subgroups

30 citations · 33 across the 3 of their papers we have counts for

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math.AT2019★ 3 cited

Topological aspects of the dynamical moduli space of rational maps

Maxime Bergeron, Khashayar Filom, Sam Nariman

We investigate the topology of the space of Möbius conjugacy classes of degree $d$ rational maps on the Riemann sphere. We show that it is rationally acyclic and we compute its fun…

math.AT2019

The topology of Baumslag-Solitar representations

Maxime Bergeron, Lior Silberman

Let $Γ = ⟨ a, b ∣ a b^{p} a^{- 1} = b^{q} ⟩$ be a Baumslag--Solitar group and $G$ be a complex reductive algebraic group with maximal compact subgroup $K < G$ . We show that, w…

math.AT2015

A Note On Nilpotent Representations

Maxime Bergeron, Lior Silberman

Let $Γ$ be a finitely generated nilpotent group and let G be a complex reductive algebraic group. The representation variety $Hom (Γ, G)$ and the character variety $\mathrm{…