Concept
Aix-en-Provence
Related lectures (61)
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Conformal Maps and Hyperbolic Geometry
Explores conformal maps, hyperbolic geometry, and isometric properties of disks.
Convergence Criteria: Series & Functions
Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.
Cohomology Operations: Cup Products and Bockstein
Explores cup products, Bockstein homomorphisms, and Steenrod algebra in cohomology.
Sobolev Spaces in Higher Dimensions
Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.
Optimal Transport: Regularity and Brenier's Theorem
Explores optimal transport regularity and Brenier's theorem, discussing continuity and convexity concepts.
Analysis IV: Measurable Sets and Functions
Introduces measurable sets, functions, and the Cantor set properties, including ternary development of numbers.
Algebraic Kunneth Theorem
Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Compact Manifolds Classification
Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.