Curves
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We plan to meet for a problem session on Tuesdays at 2:30 pm and for lectures on Thursdays at 2:30 pm (both in E406).
Here is a tentative schedule for reading chapter 4 of Hartshorne during Spring 2025:
| Date | Plan | Speaker |
| January 14: | Review of Weil divisors, class group, examples | Nat |
| January 21: | Cancelled due to weather/campus closure | |
| January 28: | Cartier divisors, invertible sheaves | Nat |
| February 4: | Relative differentials, canonical sheaf, Riemann-Roch | Matthew |
| February 13: | Hurwitz's Theorem | Akash |
| February 20: | Embeddings in proj space pt 1 | Nat |
| February 27: | Embeddings in proj space pt 2 | Matthew |
| March 6: | Elliptic curves: j-invariant | Sean |
| March 20: | Elliptic curves: group structure, jacobian variety | Akash |
| March 27: | Elliptic curves: elliptic functions | Nat |
| April 3: | Elliptic curves: Hasse invariant, rational points | Nat |
| April 10: | The cannonical embedding, classification of curves | ??? |
| April 17: | Classification of curves in P^3 | ??? |
| April 24: | Geometry on a surface | ??? |
| May 1: | Ruled surfaces | ??? |