Lectures on
PDEs and Geometry
Universidad Autónoma de Madrid (Spain)

The next course will be held on March 12-15, 2018.
Find below the list of previous courses, together with the material (lecture notes, slides...)

Forthcoming Courses

  • Course 5. March 12-16, 2018
    Monotonicity formulae, Liouville theorems, a priori estimates for singular/degenerate elliptic and parabolic equations   

    Professor Susanna Terracini

    Università degli Studi di Torino, Torino, Italy.

    Topics of the Lectures: [ Download Abstract in PDF ]


    The Lectures will take place in Departamento de Matemáticas
    • Monday, March 12 2018 Aula 520,
      • 11:30-13:00 Terracini Lecture 1
    • Tuesday, March 13 2018 Aula 520,
      • 11:30-13:00 Terracini Lecture 2
    • Thursday, March 15 2018 Aula 520,
      • 11:30-13:00 Terracini Lecture 3


Past Courses

  • Course 4. February 5-7, 2018
    Parabolic equations with rough coefficients and singular forcing  

    Professor Felix Otto

    Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

    Topics of the Lectures: [ Download Abstract in PDF ]
  • Course 2. November 23-24, 2017
    Rectifiability, regular manifolds and differential forms in Carnot groups  

    Professor Bruno Franchi

    Università degli Studi di Bologna, Bologna, Italy.

    Topics of the Lectures: [ Download Abstract in PDF ]
  • Course 1. June 20-22, 2017
    Symmetry and nonlinear diffusion flows  

    Professor Jean Dolbeault

    CEREMADE, Université Paris Dauphine, Paris, France.

    Notes of the Lectures: [ Download Notes in PDF ]
    Topics of the Lectures
    • Entropy methods in fast diffusion equations: the Bakry-
      Emery method on compact manifolds and on the Euclidean space
    • Rényi entropy powers and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
    • Large time asymptotics, linearization and optimal constants
    • Considerations on branches of solutions and bifurcations


Matteo Bonforte
Maria del Mar Gonzalez
both at UAM, Madrid, Spain




The School will take place at
Departamento de Matemáticas
Facultad de Ciencias
Universidad Autónoma de Madrid
Google Maps Link

Universidad Autónoma de Madrid

Project supported by:
- 2016 BBVA Foundation Grant
for Researchers and
Cultural Creators

- Spanish research projects
(MINECO, Spain).

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