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Watch this 57-minute lecture by Shira Tanny from the Weizmann Institute of Science exploring Viterbo's inequality and Finsler systolic inequalities on RP^n. The talk was presented at the "Systolic and Diastolic Geometry" event hosted by IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro. This mathematical lecture examines comparison problems between the volume of a space and the length/area of curves/surfaces it contains, focusing specifically on systolic geometry applications. The event brought together specialists from Differential Geometry, Analysis, and Symplectic Geometry to discuss state-of-the-art research on fundamental problems in Geometric Analysis and Symplectic Geometry, including periodic orbits in convex billiards, geodesics on spheres, and Laplacian eigenvalue problems on surfaces.
