Global Combinatorics of Per_n(0) Curves (Caroline Davis, Indiana University)

21.05.2024 10:30

The moduli space of quadratic rational maps is isomorphic to C^2, and since the 80s the program has been to understand the dynamically natural 1-D subvarieties. The classic example is Per_n(0), the variety consisting of quadratic rational maps with a marked critical n-cycle. In this talk we introduce these curves and then spell out how the combinatorics of the Mandelbrot set can provide a path towards understanding the global structure of Per_n(0) and answering open questions such as irreducibility.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 21.05.2024, Séminaire "Groupes et géométrie"

entrée libre