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Differential Equations with Symmetry

Program

Introduction to the study of symmetric systems of nonlinear ordinary or partial differential equations. Specifically, it will be shown how the symmetries of symmetric systems may be used, in a systematic way, to analyze, predict, and understand many general mechanisms of pattern formation and dynamic behaviour. Results from invariant theory, theory of differential equations and singularity theory will be used.

Research and Events

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Defended Theses

  • Asymptoptic invariants of Eulerian ideals
      Gonçalo Nuno Mota Varejão (December 2025)
      Jorge Neves
  • Some analytic and algebraic problems in the theory of orthogonal polynomials
      Alexandre Suzuki (November 2025)
      Kenier Castillo
  • Contributions to the theory of metric mean dimension
      Gustavo Sperotto Pessil (September 2025)
      Maria Pires de Carvalho
      Paulo Varandas
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