Convex Geometry: Brunn-Minkowski Inequality

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Explores Hamiltonian dynamics on convex polytopes, covering symplectic capacities, EHZ capacity, and systolic ratio maximizers.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Covers an overview of convex optimization, affine sets, polyhedra, ellipsoids, and convex functions.

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Explores convex sets, their properties, and applications in optimization.

Covers properties and theorems related to convex bodies and their transformations.

Explores trade-offs between data and time in computational problems, emphasizing diminishing returns and continuous trade-offs.

Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.

Explores VC dimension, gradient descent, convex sets, and Lipschitz functions in convex optimization.

Explores elementary results in convex optimization, including affine, convex, and conic hulls, proper cones, and convex functions.