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" We want to cover the following themes: 1. Combinatorial and arithmetical examples (substitutions, adic shifts, rearrangements, continued fractions). 2. Entropy, scaling entropy, non-amenable entropy. 3. Invariant measures, graded graphs, boundaries on infinity, traces of algebras, characters and representations of locally finite groups. 4. Filtrations, standardness, inner metric. 5. Combinatorics of paths, generating functions, identities, symmetric functions, formulae of generalized binomial coefficients. 6. Dynamics of metrics, Cantor dynamics, ergodic K-theory. 7. Polymorphisms, Markov operators, metric hyperbolicity. 8. Nonconventional ergodic averages and applications. The program will consist of general talks [50 min], short presentations [25 min] and discussions."