Summer School on
Differential Geometry

March 2-13 / 2026
MONTEVIDEO - URUGUAY

Welcome to the summer school! We are happy to host this special meeting for local and international students. You can find all the necessary information on this page.

The school will run over two weeks, with four minicourses plus two invited talks and six grad students's presentations. It stresses on varied topics in Differential Geometry, ranging from Minimal Surfaces to Hyperbolic Geometry and Rigidity.

Invited lecturers:

Daniel Monclair - (Institut de Mathématique d'Orsay, France)
TBA
Gilles Courtois - (Sorbonne Université – C. Pierre et Marie, France)
Dynamical and geometrical rigidity of horospheres (shared with Besson)
Horospheres are limits of spheres with radii tending to infinity. We will investigate the intrinsic geometry of horospheres in manifolds of negative curvature. A central theme will be to describe how geometric quantities evolve under the geodesic flow, for example the curvature and also of the connection of the horospheres. This will lead to geometric characterizations of closed manifolds of constant negative curvature.
Gérard Besson - (Institut Fourier, France)
Dynamical and geometrical rigidity of horospheres (shared with Courtois)
Horospheres are limits of spheres with radii tending to infinity. We will investigate the intrinsic geometry of horospheres in manifolds of negative curvature. A central theme will be to describe how geometric quantities evolve under the geodesic flow, for example the curvature and also of the connection of the horospheres. This will lead to geometric characterizations of closed manifolds of constant negative curvature.
José Espinar - (Universidad de Granada, Spain)
Minimal surfaces
The lectures will cover the following topics (i) Radó for minimal discs (ii) Alexandrov reflexion for CMC spheres and Maximum Principle for surfaces (iii) Hopf-Nitsche's theorem for discs with H = const (capillar surfaces).

Invited speakers:

Viveka Erlandsson - (University of Bristol, Britain)
TBA
Françoise Dal'Bo* - (Université Rennes 1, France)
TBA (* to be confirmed)

Schedule:

Mo 2 Tue 3 Wed 4 Thu 5 Fri 6
13:00-14:30 Monclair Espinar Student's presentations Monclair
14:30-15:30 Snacks & Refreshments Snacks & Refreshments Snacks & Refreshments Snacks & Refreshments Talk TBA
15:30-17:00 Espinar Monclair Erlandsson Espinar
19:00-23:00 Party!

Mo 9 Tue 10 Wed 11 Thu 12 Fri 13
13:00-14:30 Courtois Besson Student's presentations Courtois
14:30-15:30 Snacks & Refreshments Snacks & Refreshments Snacks & Refreshments Snacks & Refreshments Talk TBA
15:30-17:00 Besson Courtois Dal'Bo Besson
19:00-23:00 Recreation

There will be food and refreshments in between talks and during the break.

Registration

Registration is free and helps to organize the meeting better. We kindly ask you to register below (even if you have already confirmed your participation verbally or by email).




The event is funded by CSIC-Uruguay and International Research Laboratory IRL-2030 Instituto Franco-Uruguayo de Matemática e Interacciones (IFUMI).

Supported by IMERL-FING and CMAT-FCien, UdelaR.

Organizers:

Sebastién Alvarez
CMAT - UdelaR, Uruguay
salvarez@cmat.edu.uy

Françoise Dal'Bo
Université Rennes 1, France
dalbo@univ-rennes1.fr

Martín Reiris
CMAT - Universidad de la República, Uruguay
mreiris@cmat.edu.uy


Venue of the school:

Lecture room 101 of the. math department, inside the Engineering building.

aulario

MAP place


Useful information

Download here a PDF with further information about Parque Rodó neighborhood (where the lecture hall is located) and Montevideo city: places to visit, transportation, restaurants, prices, safety, etc.

vista