Geometric Analysis and Gauge Theory
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Goals: This course will begin with an introduction to gauge theory, followed by some symplectic geometry and topology. We will then shift focus to the theory of $J$-holomorphic maps. It will develop both the geometric intuition and the analytic tools of the subject. Course Syllabus
Prerequisites: A working knowledge of (i) Riemannian geometry and (ii) elliptic PDE at the level of Evans' Chapters 5 and 6.
Reference: Riemannian Geometry and Geometric Analysis by Jurgen Jost .
Further references on the References and Supplemental Material pages.
Exams and grades: There will be biweekly homework assignments.
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