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Venerdì 24 Maggio alle ore 14:30, Laura DeMarco (Harvard University), terrà il Colloquium di Matematica dal titolo "The Mandelbrot set: geometry and arithmetic".
Abstract: The Mandelbrot set M has been studied for many years and continues to baffle mathematicians. By definition, M is the set of all complex numbers c for which the orbit of 0 is bounded under iteration of f(z) = z^2 + c. Within M, there is a distinguished subset of what we call "PCF" or "special" parameters, where the orbit of 0 is finite. These parameters are special from both a dynamical and - somewhat surprisingly - a number-theoretic point of view. In this talk, we'll explore how the geometry of these PCF parameters is restricted by the number theory. This is joint work with Myrto Mavraki.
Il colloquium avrà luogo in presenza presso il Dipartimento di Matematica e Fisica, Aula M2.
