Optimal Transport Between Algebraic Hypersurfaces

Explore the mathematical theory of optimal transport as it applies to algebraic hypersurfaces in this 59-minute conference talk presented by Fabio Cavalletti at BIMSA's ICBS2025. Delve into the specialized intersection of optimal transport theory and algebraic geometry, examining how transportation problems can be formulated and solved between complex algebraic structures. Learn about the theoretical foundations, computational approaches, and potential applications of optimal transport methods when dealing with hypersurfaces defined by polynomial equations, gaining insights into this advanced area of mathematical research that bridges differential geometry, algebraic geometry, and optimization theory.