Braided Zestings of Verlinde Modular Categories and Their Modular Data

Explore advanced mathematical concepts in this research seminar talk focusing on the construction and classification of braided zesting in modular categories. Delve into the innovative 'Zesting of Braided Fusion Categories' technique, which generates new modular categories from existing ones containing non-trivial invertible objects. Learn about groundbreaking research that provides closed formulas for modular data of quantum groups at roots of unity, based on associated Lie algebra root systems. Gain insights from Professor César Galindo of Universidad de los Andes, an expert in quantum group representation theory and fusion categories, as he presents joint work with Giovanny Mora and Eric C. Rowell. Understand the implications of this research for quantum computing applications and advanced mathematical theory through detailed explanations and comprehensive mathematical frameworks.