Curves of all stripes


Information about the course. The programme for the lectures below is tentative and is liable to amendments depending upon what happens during the lectures.



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Thursday 16th of January 2025 Lecture 1 Examples of curves and historical motivations
Notes
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Thursday 23th of January 2025 Lecture 2 Topological surfaces
Notes

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Thursday 30th of January 2025 Lecture 3 Hyperbolic surfaces and Fuchsian groups
Notes

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Thursday 6th of February 2025 Lecture 4 (Compact) Riemann surfaces are algebraic
Notes

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Thursday 13th of February 2025 Lecture 5 Harmonic functions and Dirichlet principle
Notes

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Thursday 27th of February 2025 Lecture 6 Existence of meromorphic functions and the Riemann-Roch theorem

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Thursday 6th of March 2025 Lecture 7 Counting primes and other things and the Riemann hypothesis

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Thursday 13th of March 2025 Lecture 8 A crash course on algebraic curves defined over finite fields

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Thursday 20th of March 2025 Lecture 9 Riemann-Roch and counting points on curves

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