PIEROGY 2026

Probabilistic methods were pioneered in combinatorics, often providing the first constructions of interesting classes of objects. We are now at a point where these methods evolved to yield important new examples in Riemannian geometry and dynamics. On the other side, ergodic methods were for a long time used to prove rigidity theorems in Riemannian geometry, a trend that continues to this day. Sometimes these two approaches can be fruitfully combined. The goal of this meeting is to explore interactions of probabilistic and ergodic methods in broadly understood geometry.

The topics will involve, among other things:

• probabilistic notions of convergence of actions, representations and geometries
• random subgroups
• random manifolds
• geometric group theory
• ergodic theory, measurable actions
• measurable equivalence relations
• percolation on graphs
• stochastic geometry

The PIEROGY 2026 conference is hosted by the Faculty of Mathematics and Computer Science of the Jagiellonian University in Kraków.

The Jagiellonian University is one of the oldest universities in Europe, founded in 1364 by King Casimir III the Great. Renowned for its rich history and academic excellence, it has produced many notable alumni, including Nicolaus Copernicus. The university offers a wide range of programs in humanities, sciences, and social sciences, and is a leading center for research and education in Central Europe.

We all look forward to welcoming you in Kraków!

If you have any questions, please send an email to pierogy@matinf.uj.edu.pl