On June 21–28, 2023, in a mixed mode, online and offline, took place the 15th International Summer School-Conference "Boundary Issues of Model Theory and Universal Algebra, Erlagol 2023", traditionally organized by the Chair of Algebra and Mathematical Logic of NSTU and Sobolev Institute of Mathematics SB RAS, with the support of the Mathematical Center in Akademgorodok (Chairman of the Program Committee S. V. Sudoplatov, Scientific Secretary E. N. Poroshenko).
The work of the school was supported by grants from NSTU and the MCA. More than fifty specialists in algebra, mathematical logic and related fields, among whom were leading specialists (including RAS Corresponding Member A. E. Mironov, RAS Corresponding Member S.I. Kabanikhin, RAS Corresponding Member S.I. Kabanikhin, National Academy of Sciences of the Republic of Kazakhstan Corresponding Member B. S. Baizhanov, National Academy of Sciences of the Republic of Kazakhstan RAS Corresponding Member B. S. Kulpeshov), as well as a number of young scientists, post-graduates and students. From the statistics of the conference school: Russian participants (from Vladivostok to Moscow) — 37 people, from neighbouring countries (Kazakhstan and Uzbekistan) — 9 participants, from non-CIS countries (Hungary, Greece, Canada, China, Italy, Oman, Poland, United States) — 9 people. 13 plenary reports were made on topical issues of model theory, geometric theory, theories of groups and rings, the theory of non-classical logics and applications of mathematical logic in linguistics and computer science, as well as 28 thirty-minute presentations. Information about the conference is posted on the conference website: https://erlagol.ru.
According to the results of the work of the school, it is traditionally planned to publish a collection of works “Algebra and model theory. 14". In the resolution, unanimously adopted by the participants of the school-conference, its work was recognized as successful, the great work done by the organizing committee was noted, and the hope was expressed for holding the next traditional Erlagol school-conference in two years.