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Watch a one-hour lecture from the Harvard CMSA General Relativity Workshop where Texas A&M professor Zhizhang Xie explores Gromov's dihedral extremality and rigidity conjectures for compact manifolds with corners. Delve into how these mathematical concepts serve as localized versions of the positive mass theorem, examining their implications for geometry and mathematical physics. Learn about recent developments in proving these conjectures and their practical applications, including a solution to the Stoker conjecture, based on collaborative research with Jinmin Wang and Guoliang Yu.
