On the MLC Conjecture and the Renormalization Theory in Complex Dynamics
arXiv:2512.24171
Abstract
In this Note, we present recent developments in the Renormalization Theory of quadratic polynomials and discuss their applications, with an emphasis on the MLC conjecture, the problem of local connectivity of the Mandelbrot set, and on its geometric counterparts.
To appear in the Proceedings of the ICM 2026