The Institute for Nuclear Research and Nuclear Energy, BAS and “Lie Theory and its Applications in Science” foundation organised the 15th Workshop on Lie Theory and its Applications in Physics http://theo.inrne.bas.bg/~dobrev/LT-15.htm, which was held from 19 to 25 June 2023 at the Varna Creativity House. The Workshop was attended by 78 scientists from Belgium, Bulgaria, Canada, Czech Republic, France, Germany, Greece, Israel, Italy, Japan, Poland, Slovenia, Taiwan, Ukraine, USA and the United Kingdom.

In the scientific programme were presented, on the one hand, topics from Lie theory: representation theory, algebraic geometry and number theory, cluster algebras, infinite-dimensional Lie groups and algebras, superalgebras and supergroups, quantum groups and noncommutative geometry, special functions, and on the other hand – applications in physics: symmetries in string theory, supergravity, quantum gravity, conformal field theories, integrable systems, relativistic and non-relativistic holography, non-commutative quantum theories, symmetries in dynamical systems, symmetries in condensed matter and statistical physics.