Geometric Analysis

Scope of the special session

Geometric analysis is a subject in the frontier between differential geometry and the analytic theory of partial differential equations. This middle position implies that both analytical and geometrical techniques arise very naturally, in order to solve problems. In this session, we would like to deal with some of the main themes of geometric analysis, as, for example, constant mean curvature surfaces in Riemannian manifolds and partial differential equations arising from geometrical problems. The talks will be given by young researchers, that have given relevant contributions to this theory. Moreover, we devise the session as an opportunity to encourage exchanges of ideas and scientific collaboration among researchers of this area.


  • Barbara Nelli (University of L'Aquila, Italy)
  • Magdalena Rodríguez (University of Granada, Spain) -

Abstracts and schedule

Below you can download the schedule and the abstracts of all talks of this special session.


  • Theodora Bourni (Free University of Berlin, Germany)

          "Null mean curvature" flow and marginally outer trapped surfaces

  • Sebastien Cartier (University Paris-Est Créteil, France)

          Saddle towers in Heisenberg space

  • Ana Hurtado (University of Granada, Spain)

          Estimates of the first Dirichlet eigenvalue from exit time moment spectra

  • Debora Impera (University of Milan - Bicocca, Italy)

           Potential theory for manifolds with boundary and applications to controlled mean curvature graphs

  • Miguel Manzano (Roma Tre University, Italy)

          Mean curvature vs. bundle curvature

  • Laurent Mazet (University Paris-Est Créteil, France)

           Minimal surfaces in complete hyperbolic 3-manifolds with finite volume

  • Pablo Mira (Technical University of Cartagena, Spain)

           Constant mean curvature spheres in homogeneous three-spheres

  • Tommaso Pacini (Scuola Normale Superiore di Pisa, Italy)

          Coupled flows, convexity and calibrations

  • Giuseppe Tinaglia (King's College London, United Kingdom)

           On the topology of the limits of a sequence of embedded minimal disks

  • Francisco Torralbo (KU Leuven, Belgium)

           Minimal surfaces in Riemannian product spaces