Mini-course: An Introduction to Schemes
Time:
Venue/Location: C101, VIASM
Speaker: Phùng Hồ Hải - Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam
Content:Aim: this is an introductory course, my aim is to get the student acquainted with some basic concepts in the theory of schemes
Prerequisites: basics of commutative algebra (rings, ideals, modules), topology (topological spaces, sheaves) and differential geometry (manifolds, tangent spaces).
Content (tentative):
1. Schemes: basic properties, morphisms
2. Schemes over fields: schemes as functors, fiber products, base change
3. Schemes over fields: points and galois actions, dimension, geometric properties
4. Local properties of schemes: tangent space, smooth morphisms, regular schemes, normal schemes
5. Quasi-coherent modules: properties
6. Vector bundles: vector bundles and locally free sheaves, line bundles and divisors
7. Flat morphism: basic properties, faithfully flat descent.
References
1. U. Goertz, T. Wedhorn, Algebraic Geometry I: Schemes, Springer
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Viện Nghiên cứu cao cấp về Toán is inviting you to a scheduled Zoom meeting.
Topic: Mini-course: An Introduction to Schemes
Join Zoom Meeting
https://zoom.us/j/91478653376?pwd=S1M3NDB0MVRRbWNRSTJ2Y0pMQjN0QT09
Meeting ID: 914 7865 3376
Passcode: 131313
Topic: Mini-course: An Introduction to Schemes
Join Zoom Meeting
https://zoom.us/j/91478653376?pwd=S1M3NDB0MVRRbWNRSTJ2Y0pMQjN0QT09
Meeting ID: 914 7865 3376
Passcode: 131313