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Stony Brook University, Simons Center for Geometry and Physics ( SCGP )

February 3 - June 5, 2020

The goal of the program is to bring together mathematicians and physicists working on various aspects of renormalization in dynamical systems. The idea of ​​renormalization group emerged in Quantum Field Theory. Later, in the 1960s, it became a major tool in Statistical Mechanics in the analysis of phase transitions and critical phenomena. One can say that the ideas of renormalization group have revolutionized the field. This development culminated in Wilson's expansion based on his ideas on intrinsic relation between physical parameters in different scales.

In the 1970s the renormalization ideology was transferred to Dynamics in the context of Universality discoveries by Feigenbaum, Coullet and Tresser, and has since become one of the most powerful tools of understanding small scale structure of a large variety of systems. It has become particularly well (and rigorously) developed in the Conformal context, in particular, in the geometric problems related to the celebrated MLC Conjecture on the local connectivity of the Mandelbrot set.

Today, the renormalization ideas have penetrated deeply into many areas of Mathematics and Physics, but an explicit relation between various areas often remains elusive. One of our goals is to look for a unifying approach that would cover various manifestations of the renormalization.

Kostya Khanin, University of Toronto, Canada; Misha Lyubich, Stony Brook University

There are a few workshops associated with this program:
Analysis, Dynamics, Geometry and Probability: March 2-6, 2020
Renormalization retrospective: Feigenbaum Memorial Conference: May 28-29, 2020
which will serve as an introduction to the SCGP Workshop Many Faces of Renormalization: June 1-5, 2020

Facultad de Matemáticas , Universidad Católica UC, Santiago, Chile

January 6 - 10, 2020

The aim of the workshop is to bring together experts working in holomorphic dynamics in low dimensions and the exchange of new ideas for research directions.

ICERM, Brown University in Providence, Rhode Island

November 2-3, 2019

Thurston maps are orientation-preserving branched covering maps of the two-sphere to itself for which the orbits of the branch points form a finite set. They arise in the classification of complex dynamical systems.

Académie des Sciences, Institut de France
October 1, 2019

The Academy of Sciences is happy to invite you to the conference " Two mathematicians in search of harmony and chaos tribute to Michael Herman and Jean-Christophe Yoccoz " that held the 1 st October 2019 10h to 17h in Great hall of sessions of the Institute of France ( 23 quai de Conti 75006 ). You will find the program as an attachment.

At this occasion, Alain Chenciner Etienne Ghys , Bassam Fayyad , Marguerite Flexor, Patrice Le Calvez , Yves Meyer, Harold Rosenberg and Carlos Matheus Silva Santos return on contributions and personalities of these two scientists out of the common.

Euler International Mathematical Institute, Saint Petersburg, Russia
August 19-23, 2019

Dedicated to the 100th birthday anniversary of Vladimir Rokhlin (1919 - 1984)

Here is the link to the poster :

Ohio State University
August 9 - 11, 2019

Besides the student presentations, we are delighted to have the following distinguished speakers to deliver plenary talks at YMC 2019: Moon Duchin (Tufts University), Sam Payne (University of Texas at Austin), and  Tatiana Toro (University of Washington).

University of Bremen
August 5 - 9, 2019

The University of Warwick, Coventry England
July 22-26, 2019

The last decade has seen spectacular and continuing advances in an approach to ergodic theory and its applications using the techniques and tools of thermodynamic formalism. The aim of this workshop is to progress this theory by focusing on a number of outstanding problems and challenges. The workshop will also be an opportunity to celebrate the 60th birthday of Mark Pollicott. 

School of Mathematics and Statistics, The University of Sydney
June 24-27, 2019


Milena Radnovic, Vera Roshchina, Luchezar Stoyanov, Viktoria Vedyushkina. 

The Fields Institute
May 27 - June 7, 2019

Complex-analytic methods have revolutionized the study of low-dimensional dynamics during the last several decades. A beautiful synthesis of techniques has emerged, creating a new field which has combined such seemingly disjoint topics such as  the structure of the Mandelbrot set, the stochastic properties of a typical interval map, Feigenbaum-Coullet-Tresser universality and renormalization, among many others. Misha Lyubich’s work has been central to the development of this field, and his 60th birthday gives us an opportunity to    take stock of the current state of the art, as well as to chart new directions. The aim of the conference is to bring together experts working in the area of complex and real low-dimensional dynamics, and closely related fields of conformal geometry, groups and foliations and general smooth dynamical systems. This wide range of topics is tied together by the general theme of the use of complex methods in dynamics.