The Student Working Seminar in Algebra and Geometry (aka SWAG) is a seminar organized and run by graduate students, for graduate students. The goal of the seminar is to provide graduate students with a space in which to share and discuss topics in Algebra and Geometry that they are interested and learning about. The emphasis of the seminar is in clarity and good understanding of the material, prioritizing them over speed or amount of material covered.

The structure of the seminar consists of weekly meetings on

• Tuesdays in Blocker Building, room 628, at 4:00 pm.

This semester we will be continuing the reading of Hartshorne's "Algebraic Geometry" that was started during the Fall 2018 Student Working Seminar in Algebra and Geometry. We have the task of covering Chapter II, Sections 3-6.

A compilation of basic definitions for the working mathematician can be found in:

• Basic Definitions from Hartshorne's "Algebraic Geometry" by Pablo S. Ocal, Elise Walker, Thomas Yahl, Byeongsu Yu.

The goals achieved were the coverage of Chapter II, Sections 3-6, in moderate detail (including additional examples). The reading of Hartshorne's "Algebraic Geometry" was deemed sufficient for the aim of the seminar, and will not be resumed.

Some of the past editions of the Student Working Seminar in Algebra and Geometry were:

• Fall 2018.
• Fall 2017.
• Fall 2016.