MAT 614 Schedule Using Algebraic Geometry Fall 2021

What follows is a tentative schedule. The pace of these topics (as well as any additional topics to be covered) will be finalized in the first weeks of the semester.

• The Completeness Theorem: Existence and Properties of Chow Varieties, Hilbert Schemes, and Picard Schemes.
• Mori's Proof of Hartshorne's Conjecture: Applications of Positive Characteristic Methods in Characteristic Zero.

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