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The PIRT Conference is an international scientific event that originated in 1988 and was first held at Imperial College in London once every two years, and since 2003 it has been held at Bauman University in Moscow. The main objectives of the conference are to discuss the physical, geometric, and mathematical interpretation of the theory of relativity, its experimental verification and discussion of alternative theories of gravity, optical methods for detecting gravitational waves, new effects of moving-media optics and relativistic electrodynamics, as well as astrophysical observations and space experiments. The XXIth PIRT-2019 conference was held at a high international scientific level. 138 scientists from 14 countries attended the conference, including 36 foreign participants. Well- known scientists, such as Prof. Louis Hirsch Kauffman, Prof. Innocenzo M. Pinto, Prof. Bivudutta Mishra, Prof. Vladislav Pustovoit, and others gave their plenary presentations. The conference also received grants from the Russian Foundation for Basic Research and The Optical Society (OSA). There is more information on the website http://www.pirt.info/?lang=eng . The Conference Program of the PIRT-2021 will include papers dealing with the following major themes: Gravitation, cosmology and large-scale structure Gravitational waves and experimental tests of the relativity theory Relativistic electrodynamics High energy astrophysics Modern problems of classical and quantum field theory