This lecture covers modern algebraic geometry, focusing on schemes and affine schemes. It includes a review of classical algebraic geometry, affine algebraic sets, projective algebraic sets, local rings, and Bézout's theorem. The instructor emphasizes the importance of LaTeX'd notes provided on the Moodle page, which complement the material from the book 'Hartshorne: Algebraic Geometry'. COVID instructions for attending lectures and exercise sessions on campus are also highlighted.
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