The concept of transformation groups is a mathematical formalisation of the general idea of symmetry in natural philosophy. Transformation groups is a broad area of mathematics covering different branches of algebra, geometry, topology, dynamical systems, and mathematical physics. Although transformation groups do not fit in a unified mathematical theory in a strict sense, some fields in this area extending well away from each other, there are general consolidating principles and concepts that make interosculation and mutual enrichment possible. This makes interaction and collaboration of researches working in various fields related to transformation groups relevant and fruitful. The goal of the conference is to promote this interaction and to outline new directions of research and collaboration.

The scope of the conference includes:

• Lie groups and Lie algebras,
• Lie, holomorphic, and algebraic transformation groups,
• Algebraic groups and invariant theory,
• The geometry and topology of homogeneous spaces,
• Discrete subgroups of Lie groups and discrete transformation groups,
• Quantum groups and universal enveloping algebras,
• Kac-Moody groups and algebras, conformal and vertex algebras,
• Lie supergroups and superalgebras,
• Representation theory,
• Integrable Hamiltonian systems.