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Explore the rich field of cobordism in topology through this comprehensive lecture by Shmuel Weinberger at ICBS2024. Delve into non-constructive existence proofs and their reduction to algebra, focusing on cobordism as a case study with connections to various problems in topology and geometry. Discover Manin's "shadowing principle" and its application in exploring function spaces. Examine the "Cheeger-Gromov heuristic" and investigate the size of manifolds constructed by Wall and Gromov-Lawson-Stolz. Learn about the collaborative research efforts with S. Ferry, F. Manin, G. Chambers, D. Dotterer, G. Lim, G. Yu, and Z. Xie in this hour-long presentation that offers valuable insights into quantitative cobordism and its implications in the field of topology.
