PIEROGY — Perspectives in ergodic theory, randomness and geometry

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.

Topics: probabilistic notions of convergence of actions, random subgroups, random manifolds, geometric group theory, ergodic theory, measurable actions, measurable equivalence relations, percolation on graphs, stochastic geometry