The course covers interpolation for polynomials in two variables, focusing on topics such as naive dimension counts, the Picard Group, Segre's Conjecture, and Nagata's Conjecture. The learning outcomes include understanding effective classes, extremal rays, and the Nefness Lemma. The course teaches skills in analyzing cones, extremal rays, and providing evidence for the A-Conjecture. The teaching method involves theoretical explanations and outlining proofs. The intended audience for this course is individuals interested in advanced topics in mathematics, specifically in polynomial interpolation in two variables.
Overview
Syllabus
Intro
General setup
Naive dimension counts
The Picard Group
The Intersection Form
Virtual and Expected Dimension
Segre's Conjecture
SGHH Conjecture
Nagata's Conjecture
Effective classes
The Interesting Cones
The Cone Theorem
Cones, Extremal Rays
The Nefness Lemma
Good and Wonderful Rays
The A-Conjecture
Examples of Good Rays
Outline of the proof
A bit more evidence
Taught by
IMSA
Tags
Reviews
5.0 rating, based on 1 Class Central review
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Mansi VarmaThank you for a great course. Great presentation style with lots of opportunities to ask questions and talk about real life examples which all made for a really enjoyable and informative course." "This has more than met my expectations." "A wonderfully practical course - both personally and professionally.
