Summer 2019 Algebraic Geometry Reading Group

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This is the page for the Summer 2019 Algebraic Geometry Reading Group.

Resources

We plan to primarily use the newest version of Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry, which can be found here: http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf.

At times we may also use Hartshorne's Algebraic Geometry.

Schedule

10 Total Weeks: May 13-31, June 24-August 9 Roughly 3 meetings per week for 1-1.5 hours each. Exact days will be determined based on the schedules of the participants.


Optimistic reading schedule (all chapters from Vakil):

Week of May 13: Ch. 3, Ch. 4 (Affine schemes, structure sheaf)

Week of May 20: Ch. 5, Start Ch. 6 (Properties of schemes, morphisms of schemes)

Week of May 27: Finish Ch. 6, Ch. 7 (Classes of morphisms of schemes)

Week of June 24: Ch. 8, Start Ch. 9 (Closed embeddings and Cartier divisors, fibered product of schemes)

Week of July 1: Finish Ch. 9, Ch. 10 (Separated and proper morphisms, varieties)

Week of July 8: Ch. 11, Start Ch. 12 (Dimension, regularity and smoothness)

Week of July 15: Finish Ch. 12, Ch. 13 (Quasicoherent and coherent sheaves)

Week of July 22: Ch. 14, Start Ch. 15 (Line bundles, projective schemes)

Week of July 29: Finish Ch. 15, Ch. 16 (Pushforwards and pullbacks of quasicoherent sheaves)

Week of August 5: Ch. 18, Ch. 19, Ch. 21 (Cech cohomology, curves, differentials)

Comments, Questions and (hopefully) Answers

Summer plans

If you feel like telling us your general plans for the summer, so that we'll know when you are around Madison, please do so here:

Caitlyn: out of town May 29-June 23 and Aug. 17-25