This is a 5-week program held at the Institute of Mathematics of Polish Academy of Sciences, aiming at bringing together specialists working in the fields such as Diophantine approximation, holomorphic dynamics, ergodic theory, fractal geometry, to exchange ideas and collaborate on a range of topics and problems. Another goal is to introduce both basic concepts and more advanced techniques and results in this area to younger researchers.

The program includes:

•  School in Będlewo (26 April - 1 May 2026)

• Conference in Warsaw (18 - 22 May 2026)

• 3 weeks of activities in Warsaw (4 - 15 May & 25 - 29 May 2026) dedicated to seminars, minicourses and intense collaboration

 The topics include but not restricted to:

• Brjuno functions 

• Continued fraction theory and its links with multifractal analysis and dynamical systems

• Dimension theory of fractals

• Low dimensional real and complex dynamics

• Diophantine approximation and geometric measure theory

• Smooth dynamics and Ergodic theory

• Algorithms: p-adic continued fractions, complex continued fractions, multidimensional generalisations

Contact

On the matters regarding the Semester activities, including school and conference, please contact the organizers at: simons26@impan.pl

We kindly request that, if any scientific publications result from participation in the Simons Semester or from collaborations initiated during the semester, authors include the following text in the Acknowledgments section:

This [work/event] was partially supported by the Simons Foundation grant (award no. SFI-MPS-T-Institutes-00010825) and from State Treasury funds as part of a task commissioned by the Minister of Science and Higher Education under the project “Organization of the Simons Semesters at the Banach Center - New Energies in 2026-2028” (agreement no. MNiSW/2025/DAP/491).