Prossimo seminario

Gabriella Tarantello e Stefano Trapani,  Tor Vergata.  On CMC 1-immersions of a closed surface into Hyperbolic 3-manifolds

Martedì 16 Maggio 2026 ore 14:30 aula Dal Passo

Abstract: Constant Mean Curvature (CMC) c-immersions of a closed orientable surface S (with genus g ≥ 2) into hyperbolic 3-manifolds emerged by the work of Uhlenbeck in connection with irreducible representations of the fundamental group of S into the Mobious group. In view of  Bryant surfaces, the value c =1 of the mean curvature enters as a “critical” (yet significant) parameter in this context. It is responsible for natural “blow-up” phenomena, and for this reason the moduli space of such (CMC) 1-immersions remained elusive for long time. 

In recent work, we showed how to encompass the blow-up situation in terms of sharp orthogonality conditions, involving the image Z of the Kodaira map, for genus g = 2, and the (g −1)-secant variety of Z, for larger genus. 

In this way, under a generic condition, we can ensure existence and uniqueness of (CMC) 1-immersions of S into (germs) of hyperbolic 3-manifolds, and obtain a parametrization of the corresponding moduli space in terms of the tangent bundle of the Teichmueller space of S.

Seminari secondo semestre 25/26

Anna Miriam Benini,  Parma.  Martedì 3 Marzo 2026 

Liviu Ornea,  Bucharest.  Martedì 10 Marzo 2026 

Fabrizio Bianchi,  Pisa.  Martedì 17 Marzo 2026 

Samuele Mongodi,  Milano Bicocca.  Martedì 24 Marzo 2026 

Simon Jubert, Paris Sorbonne.  Martedì 31 Marzo 2026 

Gérard Besson,  CNRS-Grenoble. Martedì 14 Aprile 2026

Simone Diverio,  Paris Sorbonne.  Martedì 21 Aprile 2026

Sebastien Boucksom,  CNRS-Paris Sorbonne.  Martedì 28 Aprile 2026

Pietro Piccione, Göteborg. Martedì 5 Maggio 2026

Gian Maria Dall'Ara, INDAM-SNS. Martedì 12 Maggio 2026

Daniele Angella, Firenze. Martedì 19 Maggio 2026

Włodzimierz Zwonek, Jagiellonian University. Martedì 26 Maggio 2026

Gabriella Tarantello e Stefano Trapani, Roma Tor Vergata. Martedì 16 Giugno 2026

This seminar is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUPE83C23000330006)