Jun 10 – 13, 2025
Institut de Mathématiques de Toulouse
Europe/Paris timezone

A priori bounds for some near-parabolic primitive combinatorics

Jun 10, 2025, 11:30 AM
50m
Amphithéatre Schwartz (Institut de Mathématiques de Toulouse)

Amphithéatre Schwartz

Institut de Mathématiques de Toulouse

Université Paul Sabatier 118, route de Narbonne - Bat. 1R3 31062 Toulouse Cedex 9

Speaker

Alex Kapiamba

Description

The local connectivity of the Mandelbrot set (MLC) is a long outstanding conjecture in complex dynamics. Nearly twenty years ago, Kahn and Lyubich established MLC for all “definitely primitive” combinatorics. In this talk we will discuss MLC for some primitive combinatorics which accumulate on parabolic parameters in the Mandelbrot set. Based on joint work with Jeremy Kahn.

Presentation materials

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