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Explore a cutting-edge lecture on the application of quantitative operator theory to estimate filling radius in relation to positive scalar curvature and asymptotic dimension. Delve into the groundbreaking research presented by Guoliang Yu at the ICBS2024 conference, which solves a large-scale version of Gromov's conjecture. Learn about the collaborative work with Jinming Wang, Bo Zhu, and Zhizhang Xie as they uncover new connections between geometry, topology, and operator theory. Gain insights into advanced mathematical concepts and their implications for understanding the structure of spaces over the course of this hour-long presentation.
