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Explore the concept of isolated fractional skyrmions in magnetic quantum gases through this 54-minute lecture by Hiromitsu Takeuchi from the PCS Institute for Basic Science. Delve into the fascinating world of topological solitons and their occurrence after phase transitions involving spontaneous symmetry breaking. Learn about magnetic skyrmions and their characteristic patterns in order parameter fields, drawing parallels to electrons in two dimensions. Discover how skyrmions can possess half of the elementary charge in a magnetic quantum fluid of 7Li Bose-Einstein condensates, introducing the concept of eccentric fractional skyrmions (EFS). Understand the distinction between EFS and merons, focusing on the unique isolated nature of EFS due to their eccentric "shaft" of spin singularity. Explore the generation of EFS through spin-current instability, drawing comparisons to the Kelvin-Helmholtz instability in fluid dynamics. Gain insights into cutting-edge research in quantum physics and its implications for understanding complex topological structures in magnetic systems.