Summer 2019 Algebraic Geometry Reading Group

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


We plan to primarily use the newest version of Ravi Vakil's The Rising Sea: Foundations of Algebraic Geometry, which can be found here:

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


11 Total Weeks: May 13-31, June 24-August 16

Meetings on Mondays and Thursdays roughly 11:45am-1:15pm.

Exact schedule may vary slightly from week to week.

Optimistic reading schedule (all chapters from Vakil):

Week of May 13: Ch. 2, Ch. 3 (Sheaves, Affine schemes)

Week of May 20: Ch. 4, Ch. 5 (Structure sheaf, Properties of schemes)

Week of May 27: Ch. 6 (Morphisms of schemes) **No meeting on Thursday.**

Week of June 24: Ch. 7, Ch. 8 (Classes of morphisms of schemes, Closed embeddings and Cartier divisors)

Week of July 1: Ch. 9 (Fibered product of schemes) **Only meeting on Wednesday at 11:30am.**

Week of July 8: Ch. 10, Ch. 11 (Separated and proper morphisms, varieties, Dimension)

Week of July 15: Ch. 12 (Regularity and smoothness) **Thursday meeting at 12:15pm on 12.3-9**

Week of July 22: Ch. 13, Ch. 14 (Quasicoherent and coherent sheaves, Line bundles)

Week of July 29: Ch. 15 (Projective schemes) **No meetings on Thursday.**

Week of August 5: Ch. 16 (Pushforwards and pullbacks of quasicoherent sheaves)

Week of August 12: Ch. 18 (Cech cohomology) **Thursday meeting moved to Friday**

General Meeting Structure

This reading seminar will be structured as follows. Every meeting will have an assigned "leader," who will usually be one of the reading group participants, but could at times be an older grad student or professor. It will be expected that everyone attending will read the assigned chapters prior to the meeting. The "leader" is expected to additionally work out some examples prior and will be responsible for guiding the group discussion during the meeting. Meetings will primarily be spent discussing questions that everyone has about the reading and going through examples together. Depending on the interest of the group, we may also have problem solving sessions.

If you are interested in joining this reading group, please contact Caitlyn Booms at by May 8, 2019 and join the mailing list by emailing join-ag (at)

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

Colin: Out of town July 1-15 and one week sometime in June probably

Alex H: Probably mostly in town, but will be gone late July - early August.

Patrick: Leaving May 17th. Back sometime in June.

Hyun Jong: Leaving May 17th. Back July 13. Out of town 7/31-8/6