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This lecture from the II Brazilian Workshop on Soft Matter presents Yan Levin's research on the theory and simulations of charge regulation of colloidal particles in electrolyte solutions. Delivered at ICTP-SAIFR in April 2025, the talk explores how colloidal particles interact with surrounding electrolyte solutions and how their surface charges are regulated. Gain insights into the theoretical frameworks and simulation techniques used to understand these complex systems, which have important applications in materials science, physical chemistry, and biological systems. The presentation is part of a broader workshop on soft matter physics organized by ICTP-SAIFR.
