Lectures related to Aix-en-Provence

Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.

Explores the proof of Weyl's theorem, focusing on discrete spectrum, ground states, and potential energy continuity.

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Covers the proof of the theorem of implicit functions and the concept of class C functions.

Explores optimal transport regularity and Brenier's theorem, discussing continuity and convexity concepts.