Dynamical Renormalization and MLC: January 4 – March 5, 2027

Organized by:

Dima Dudko (SBU)
Edson de Faria (University of Sao Paulo)
Kostya Khanin (BIMSA)
Misha Lyubich (SBU)
Marco Martens (SBU)

Since its introduction 50 years ago, the concept of Dynamical Renormalization (originally motivated by Renormalization in Physics) has become a fundamental tool in Dynamical Systems. The Program highlights recent advances of this theme, with a particular focus on the MLC Conjecture (the local connectivity of the Mandelbrot set), a central open problem in contemporary Holomorphic Dynamics. Related and parallel topics include circle and rational higher-degree Dynamics, 2D Dynamics (real and complex, dissipative and conservative), the spectral theory of the Schrödinger operator with almost periodic potential.

This event will also host a workshop: Half a century of Dynamical Renormalization: February 8 – 12, 2027.