Bi-Lipschitz versus analytic equivalence of two variable complex quasihomogeneous function-germs

par Leonardo Camara

mardi 20 oct. 2026, 11:00 → 13:00 Europe/Paris

Salle Conference (LJAD)

In this talk we address the problem of classifying complex (non-homogeneous) quasihomogeneous polynomials in two variables under biLipschitz equivalence. We prove that pairs of such polynomials are (right) bi-Lipschitz equivalent as function-germs at 0 ∈ C2 iff they are analytically equivalent. Furthermore, we give a detailed description of the analytic moduli space of such function-germs. This is a joint work with Alexandre Fernandes.