3 papers
math.GT2025
Profinite rigidity of Kähler groups: Riemann surfaces and subdirect products
Sam Hughes, Claudio Llosa Isenrich, Pierre Py +2
This paper establishes strong profinite rigidity results for Kähler groups, showing that certain groups are determined within the class of residually finite Kähler groups by their…
math.GT2023
Groups with exotic finiteness properties from complex Morse theory
Claudio Llosa Isenrich, Pierre Py
Recent constructions have shown that interesting behaviours can be observed in the finiteness properties of Kähler groups and their subgroups. In this work, we push this further an…
math.GR2018
Hyperbolic spaces, principal series and
Pierre Py, Arturo Sánchez
We prove that there exists no irreducible representation of the identity component of the isometry group of the real hyperbolic space of dimension into the grou…