On the existence of minimal surfaces in infinite volume hyperbolic 3-manifolds

Orateur:	Franco VARGAS PALLETE ( IHES )
Localisation:
Type:	Séminaire de géométrie
Site:	IMJ-PRG Université Paris Cité
Salle:	Salle 1013
Date de début:	07/04/2025 - 11:00
Date de fin:	07/04/2025 - 11:00

We will discuss two results about the existence of closed minimal surfaces in
non-compact hyperbolic 3-manifolds.
In the first part, we will prove the following dichotomy: either all bounded
geometry surface groups admit a minimal surface, or there exists an example
with a minimal fibration.
In the second part we will discuss minimal surface existence for hyperbolic
handlebodies.
Based in joint work with Baris Coskunuzer, Zheng Huang and Ben Lowe.