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Séminaire Doctorants

organisé par l'équipe DOCT

  • Maria Abad Aldonza

    The Mandelbrot set

    28 mai 2026 - 16:30Salle de séminaires IRMA

    The Mandelbrot set is one of the most iconic objects in mathematics due to its visual appeal. It has its origin in the complex dynamics of quadratic polynomials. In this talk, we introduce Julia sets and the Mandelbrot set from scratch. We will show that a Julia set is connected if it is parametrized by a point inside the Mandelbrot set and completely disconnected otherwise. Time permitting, we will show that the Mandelbrot set itself is connected.