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math.SP2026
Equivariant Steklov homogenisation and stability of spectral representations
Samuel Audet-Beaumont, Maxime Fortier Bourque, Alexandre Girouard
We prove that isolated spectral clusters preserve their finite-group representation under equivariant spectral convergence. In particular, an irreducible limiting eigenspace cannot…
math.SP2023★ 1 cited
Three counterexamples to a conjecture of Colin de Verdière on multiplicity
Maxime Fortier Bourque, Émile Gruda-Mediavilla, Bram Petri +1
We exhibit closed hyperbolic surfaces of genus , , and such that the multiplicity of the first nonzero eigenvalue of their Laplacian is larger than the maximum conject…