Misha Verbitsky

Université Libre de Bruxelles

MATH-F-420: Differential geometry

Monday 16:00-18:00, P.OF.2058

Slides:

• Lecture 1. Manifolds (September 21).
• Lecture 2. Partition of unity (October 5).
• Lecture 3. Derivations and vector fields (October 12).
• Lecture 4. Derivations and sheaves (October 19).
• Lecture 5. Locally trivial fibrations (October 26).
• Lecture 6. Vector bundles as locally trivial fibrations (November 9).
• Lecture 7. Operations on vector bundles (November 16).
• Lecture 8. Grassmann algebra (November 30).
• Lecture 9. De Rham differential (December 7).
• Lecture 10. Poincare lemma (December 14).

• Remedial topology
• Manifolds and sheaves
• Derivations
• Sheaves and germs
• Vector bundles and sheaves
• Smooth fibrations
• Vector bundles
• Grassmann algebra
• De Rham differential

• Test assignment 1 (28.09.2015)
• Exam problems.

GEOMETRY AT THE ULB differential geometry at the Université libre de Bruxelles