Misha Verbitsky

Instituto Nacional de Matemática Pura e Aplicada

Hodge theory

Slides:

• Lecture 1: Complex manifolds, 10.08.2026
• Lecture 2: Real analytic manifolds, 14.08.2026
• Lecture 2 bis: Frobenius theorem, 17.08.2026
• Lecture 3: Newlander-Nirenberg theorem, 17.08.2026
• Lecture 4: Kähler manifolds, 21.08.2026
• Lecture 5: Levi-Civita connection, 24.08.2026

Home assignments

• Assignment 1: Complex structures on vector spaces, 10.08.2026.
• Assignment 2: Frobenius form, 17.08.2026.
• Assignment 3: almost complex structures and integrability, 24.08.2026.