Organized by:
Dima Dudko (SBU)
Edson de Faria (University of Sao Paulo)
Kostya Khanin (University of Toronto)
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. We propose a twomonth program on recent advances of this theme, with a particular focus on the MLC Conjecture (on the local connectivity of the Mandelbrot set), which is the central open problem in contemporary Holomorphic Dynamics. At the same time, we would like to highlight other important manifestations of this idea, in the circle dynamics, in the 2D polynomial dynamics, real and complex, in the spectral theory of the Schrödinger operator, with an eye on connections with physics.
This event will also host a workshop: Half a century of Dynamical Renormalization: February 8 – 12, 2027.