Lectures related to Proof of Main Lemma

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Explores optimal transport in heat equations and metric spaces.

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Covers the concept of outer measure and properties of measurable sets.

Introduces Coq, an interactive theorem assistant based on the Curry-Howard isomorphism.

Explores the proof of the Prime Number Theorem and its implications in number theory.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Covers Hoare Logic, its foundations, applications, and significance in program verification.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers examples of direct and indirect proofs in mathematics.

Explores convergence in law for random variables, including Kolmogorov's theorem and proofs based on probability lemmas.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores the proof of the Central Limit Theorem through Lindeberg's principle and the convergence of random variables.