- Oggetto:
Introduction to deformation theory and stability
- Oggetto:
Introduction to deformation theory and stability
- Oggetto:
Academic year 2024/2025
- Teacher
- Tommaso Sferruzza (Lecturer)
- Teaching period
- Apr-July
- Type
- Basic
- Credits/Recognition
- 5 CFU - 25 hours
- Course disciplinary sector (SSD)
- SSD: MAT/03 - geometry
- Delivery
- Formal authority
- Language
- English
- Attendance
- Optional
- Type of examination
- Oral
- Oggetto:
Sommario del corso
- Oggetto:
Program
In this course I would like to give an introduction to the Kodaira- Spencer theory of deformations of complex manifolds. The goal is to acquire the necessary tools to understand the proof of the main theorem, i.e., the stability of the K¨ahler condition under small deformations of the complex structure on a compact complex manifold. The final part of this course intends to approach the theory of deformations from the point of view of curves of complex structures and present some recent applications concerning the stability of special Hermitian structures in the non-K¨ahler realm.
Suggested reading: J. Morrow, K. Kodaira, “Complex manifolds”Suggested readings and bibliography
- Oggetto:
- Book
- Title:
- Complex Manifolds
- Year of publication:
- 2006
- Publisher:
- AMS Chelsea Publishing
- Author:
- K. Kodaira, J. Morrow
- Required:
- No
- Oggetto:
- Article
- Title:
- Complex parallelisable manifolds and their small deformations
- Journal title:
- Journal of Differential Geometry
- Year of publication:
- 1975
- Author:
- I. Nakamura
- Volume:
- 10
- Start, end page:
- 85-112
- DOI:
- Required:
- No
- Oggetto:
Notes
Period: March-April 2025
- Oggetto:
