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Dynamical Renormalization and MLC: January 4 – March 5, 2027
Simons Center for Geometry and Physics
January 4 – March 5, 2027

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.

Organized by:

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

Half a century of Dynamical Renormalization: February 8 – 12, 2027
Simons Center for Geometry and Physics, Stony Brook
February 8 – 12, 2027

The goal of the Workshop is to bring together researchers working on various aspects of Renormalization in Dynamical Systems.

Fifty years ago, the Renormalization was introduced in Dynamics in the works of Feigenbaum, Coullet and Tresser. Today, the renormalization ideas have penetrated deeply into many areas of Mathematics and Physics, though an explicit relation between various areas often remains elusive. In the case of the Mandelbrot set, the MLC Conjecture has been essentially reduced to the justification of renormalization control for all quadratic polynomials.

Organized by:

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

Patterns, Primes and Dynamics
Park City, Utah
June 27 - July 17, 2027

IAS/Park City Mathematics Institute 2027 - June 27-July 17, 2027 Patterns, Primes and Dynamics

Organizers: Nikos Frantzikinakis, University of Crete; Bryna Kra, Northwestern University; Sarah Peluse, Stanford University; Florian Richter, EPFL; and Joni Teräväinen, University of Cambridge.

Graduate Program Lecturers: Ben Green, University of Oxford; Oleksiy Klurman, University of Bristol, UK; Borys Kuca, Jagiellonian University; Redmond McNamara, Northwestern University; Mariusz Mirek, Rutgers University; Joel Moreira, University of Warwick; Sean Prendiville, Lancaster University; Donald Robertson, University of Manchester; and Joni Teräväinen, University of Cambridge.

See website for additional 2027 information  https://www.ias.edu/pcmi

The IAS/Park City Mathematics Program (PCMI) is an outreach program of the Institute for Advanced Study (IAS).  Held in Park City, Utah, IAS/PCMI is an intensive three-week residential conference that includes several parallel sets of activities aimed at different groups of participants across the entire mathematics community.