Abstract: It is commonly known that the interplay of linear and nonlinear effects gives rise to solitons, i.e., self-trapped localized structures, in a wide range of physical settings, including optics, Bose-Einstein condensates (BECs), hydrodynamics, plasmas, condensed-matter physics, etc. Nowadays, solitons are considered as an interdisciplinary class of modes, which feature diverse internal structures. While most experimental realizations and theoretical models of solitons have been elaborated in one-dimensional (1D) settings, a challenging issue is prediction of stable solitons in 2D and 3D media. In particular, multidimensional solitons may carry an intrinsic topological structure in the form of vorticity. In addition to the “simple” vortex solitons, fascinating objects featuring complex structures, such as hopfions, i.e., vortex rings with internal twist, have been predicted too. A fundamental problem is the propensity of multidimensional solitons to be unstable (naturally, solitons with a more sophisticated structure, such as vortex solitons, are more vulnerable to instabilities). Recently, novel perspectives for the creation of stable 2D and 3D solitons were brought to the attention of researchers inoptics and BEC. The present talk aims to provide an overview of the main results and ongoing developments in this vast field. An essential conclusion is the benefit offered by the exchange of concepts between different areas, such as optics, BEC, and hydrodynamics. Recent review articles and a book on the subject of the talk: Y. Kartashov, G. Astrakharchik, B. Malomed, and L. Torner, Frontiers in multidimensional self-trapping of nonlinear fields and matter, Nature Reviews Physics 1, 185-197 (2019) https://doi.org/10.1038/s42254-019-0025-7. B. A. Malomed, (INVITED) Vortex solitons: Old results and new perspectives, Physica D 399, 108-137 (2019) https://doi.org/10.1016/j.physd.2019.04.009; free access: https://authors.elsevier.com/a/1ZXATc2Eea3QG Z. Luo, W. Pang, B. Liu, Y. Li, and B. A. Malomed, A new form of liquid matter: quantum droplets, Front. Phys. 16, 32501 (2021) https://link.springer.com/article/10.1007/s11467-020-1020-2. B. A. Malomed, Multidimensional dissipative solitons and solitary vortices, Chaos, Solitons & Fractals 163, 112526 (2022) https://doi.org/10.1016/j.chaos.2022.112526. B. A. Malomed, Multidimensional Soliton Systems, Advances in Physics X 9:1, 2301592 (2024). G. Li, Z. Zhao, B. Liu, Y. Li, Y. V. Kartashov, and B. A. Malomed, Can vortex quantum droplets be realized experimentally? Frontiers of Phys. 20, 013401 (2025). B. A. Malomed, Prediction and observation of topological modes in fractal nonlinear optics, Light: Science & Applications 14, 29 (2025). B. A. Malomed, Multidimensional solitons (a book), AIP (American Institute of Physics) Publishing, Melville, NY, 2022. Co-sponsored by: Prof. Nicolas Quesada Speaker(s): Boris J. Armand Bombardier J-2074, Polytechnique Montréal, Montréal, Quebec, Canada, J3X 1P7