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The main aim of the conference series is to present and discuss new results on geometry and topology of manifolds with the particular attention being paid to applications of algebraic methods. The topics usually discussed include: Lie groups (including infinite dimensional), Lie algebroids and their generalizations, Lie groupoids, Characteristic classes, index theory, K-theory, Fredholm operators, Singular foliations, cohomology theories for foliated manifolds and their quotients, Symplectic, Poisson, Jacobi and special Riemannian manifolds, applications to mathematical physics. All these topics are very closely related and most interesting results are obtained when various non-standard methods are applied. To stimulate an exchange of ideas and research we plan to invite a group of important and experienced researchers to give mini-courses and lectures on chosen topics.