Nowadays, representation theory plays an outstanding role in modern mathematical research. It connects several areas of mathematics and provides the rigorous base of important theories in physics. The following subjects are planned to be discussed in the talks of the conference: classical representation theory of Lie algebras and Lie groups, quantum groups, Lie superalgebras, W-algebras, symplectic geometry, Poisson algebras, geometric quantization and integrable systems, cohomology of groups and algebras, algebraic invariant theory, Springer correspondence and modular Springer correspondence, vertex algebras and Poisson vertex algebras, low-dimensional topology, category theory, geometric representation theory, applications of representation theory in enumerative geometry, and more.
Due to the wide range of applications of representation theory, professional meetings that cover the topics listed above are in great demand by the global mathematical research community. Besides the importance of the proposed meeting, its uniqueness lies in the unexplored range of potential new collaborations that it will open to the participants of the conference. The meeting will help to raise mutually beneficial professional connections between the international specialists and the mathematicians working in the Siberian Branch of the Russian Academy of Sciences. The local organizing committee, Novosibirsk State University and Mathematical Center in Akademgorodok, accumulated the decades of traditions of organizing international conferences in different areas of mathematics all over the very wide geographical region of Siberia.