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Created by:
Last updated:
November 7, 2022
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
The topics for this course vary each semester.
This semester, the course aims to introduce techniques for studying intersection theory on moduli spaces. In particular, it covers the geometry of homogeneous varieties, the Deligne-Mumford moduli spaces of stable curves and the Kontsevich moduli spaces of stable maps using intersection theory
Course Curriculum
- Some notes about Grassmannians. Unlimited
- Some notes about the construction of the Hilbert scheme Unlimited
- Some notes containing a brief survey Unlimited
- Some notes describing the Picard group of the moduli space of curves. Unlimited
- Some notes about the Kodaira dimension of the moduli space of curves Unlimited
- Some notes on the Kontsevich moduli space of genus zero stable maps. Unlimited
About the instructor
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Massachusetts Institute of Technology
