30 citations · 33 across the 3 of their papers we have counts for
5 papers
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 rational maps on the Riemann sphere. We show that it is rationally acyclic and we compute its fun…
The topology of Baumslag-Solitar representations
Maxime Bergeron, Lior Silberman
Let be a Baumslag--Solitar group and be a complex reductive algebraic group with maximal compact subgroup . We show that, w…
A Note On Nilpotent Representations
Maxime Bergeron, Lior Silberman
Let be a finitely generated nilpotent group and let G be a complex reductive algebraic group. The representation variety and the character variety $\mathrm{…
An upper bound for the volumes of complements of periodic geodesics
Maxime Bergeron, Tali Pinsky, Lior Silberman
A periodic geodesic on a surface has a natural lift to the unit tangent bundle; when the complement of this lift is hyperbolic, its volume typically grows as the geodesic gets long…
The topology of nilpotent representations in reductive groups and their maximal compact subgroups
Maxime Bergeron
Let G be a complex reductive linear algebraic group and let K be a maximal compact subgroup of G. Given a nilpotent group Γgenerated by r elements, we consider the representation s…