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Explore a mathematical lecture that delves into utilizing topological complexity, as defined by Smale, to evaluate the complexity of enumerative problems in classical algebraic geometry. Through four detailed examples, discover lower bounds for Schwarz genera of covers associated with these enumerative problems. Learn about the technical challenges involved in understanding cohomology classes of BPU_n (classifying spaces of projective unitary groups) in this joint research presentation by Weiyan Chen, Zheyan Wan, and Xing Gu.
