# On Lipschitz rigidity of complex analytic sets

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Date/heure
Date(s) - 04/04/2019
14 h 00 min - 15 h 00 min

Catégories Pas de Catégories

In this talk, we will prove that any complex analytic set in \$\mathbb{C}^n\$ which is Lipschitz normally embedded at infinity and has tangent cone at infinity that is a linear subspace of \$\mathbb{C}^n\$ must be an affine linear subspace of \$\mathbb{C}^n\$ itself. No restrictions on the singular set, dimension nor codimension are required. In particular, any complex algebraic set in \$\mathbb{C}^n\$ which is Lipschitz regular at infinity is an affine linear subspace.
This is a joint work with Alexandre Fernandes.

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