Thematic 3-weeks programme at the Institut Henri Poincaré, Paris, May 18th to June 4th, 2027.
Beware: It was reported to us that scammers are sending to participants fraudulent e-mails about accommodation/fees. Please be particularly cautious about e-mails not coming from the organisers nor from an @ihp.fr address.
REGISTRATION IS FREE, HOWEVER MANDATORY.
Presentation of the programme
In recent years, there have been major advances using techniques from Descriptive Set Theory to show, in a rigorous way, that many classical problems in Dynamical Systems are impossible to solve. In this context, a problem that can be set in a Polish space is said to be impossible to solve if it cannot be settled using inherently countable techniques. These groundbreaking results mostly lie in Ergodic Theory, with further significant advances in Topological and Smooth Dynamical Systems.
One main goal of this program is to further enhance interactions between Descriptive Set Theory and Dynamical Systems. It brings together researchers from different fields to settle some of the most famous problems in dynamics dating to the mid-20th century.
A second main goal is to expand applications of the techniques from Descriptive Set Theory to other areas of mathematics.
Week 1
The program begins with lectures introducing the basic impossibility techniques and lectures explaining fundamental concepts in areas of potential applications.
We plan to have tutorials on:
- Impossibility Results
- Ergodic Theory
- Symbolic Dynamics
- Smooth Dynamical Systems
Week 2
Research talks in Descriptive Set Theory, Ergodic Theory, Smooth and Symbolic Dynamics, as well as Expository Lectures, including on:
- Impossibility Results in Ergodic theory
- Complexity Theory
- Flexibility and Rigidity
Week 3
Topical Days (particularly Complex Dynamics with tutorial); Problem Sessions
Invited Speakers include:
Adam Kanigowski, Georgia Tech
Asger Tornquist, University of Copenhagen
Benjamin Vejnar, Charles University, Prague
Benjamin Weiss, HU of Jerusalem
Bo Peng, McGill University
Christian Bonatti, Institut Mathématiques de Bourgogne
Danijela Damjanovic, KTH Royal Institute of Technology
Dmitry Turaev, Imperial College London
Dominik Kwietniak, Jagiellonian University in Krakow
Eusebio Gardella, Göteborgs Universitet
Federico Rodriguez Hertz, Penn State University
Florian Richter, École Polytechnique Fédérale de Lausanne
Francois Le Maitre, Institut de Mathématiques de Bourgogne
Insung Park, Stony Brook University
Julien Melleray, Institut Camille Jordan
Marcin Sabok, McGill University
Maria Saprykina, KTH Royal Institute of Technology
Martina Iannella, TU Wien
Matthieu Joseph, Université Paris Cité
Michael Hevessy, Charles University, Prague
Michael Yampolsky, University of Toronto
Pierre Berger, Université Paris-Saclay
Raphael Krikorian, CY Cergy Paris University
Robin Tucker-Drob, University of Florida
Romain Dujardin, Sorbonne University
Samuel Petite, Université de Picardie Jules Verne
Scott Schmieding, Penn State University
Su Gao, Nankai University
Sylvain Crovisier, Université Paris-Saclay
Thomas Gauthier, Université Paris-Saclay
Yann Delaporte, Sorbonne Université
Organising committee
Jérôme Buzzi (Université de Paris-Saclay and CNRS)
Yves Coudène (LPSM)
Marlies Gerber (Indiana University)
Bryna Kra (Northwestern University)
Tomás Ibarlucía (IMJ-PRG)
Philipp Kunde (Oregon State University)
Maria Alejandra Rodriguez-Hertz (Southern University of Science and Technology,China)
Scientific committee
Bassam Fayad (University of Maryland and CNRS)
Matthew Dean Foreman (University of California, Irvine)
Nataliya Goncharuk (Texas A&M University)
Sandra Müller (TU Vienna)