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A Modern Introduction to Algebraic Stacks
16:00-17:30, every Monday, October 31, 2022 - January 16, 2023
Room 509, Cosmology Bldg., National Taiwan University + Cisco Webex, Online + Onsite Course

Adeel Khan (Academia Sinica)

Yng-Ing Lee (National Taiwan University)

1. Course Outline & Descriptions

In these lectures we will give a modern introduction to the theory of algebraic stacks,

using the language of ∞-categories (which will be reviewed in the first few lectures). The value of this machinery will be illustrated through our discussion of topics like the cotangent complex, and the theories of coherent sheaves and perfect complexes on stacks. These abstract concepts will be illustrated through various examples such as moduli stacks of curves, vector bundles and coherent sheaves. We will assume the audience has some basic background in algebraic geometry (scheme theory) and algebraic topology.

2. Grading

Oral exam.

3. Registration 


4. Broadcasting

2022: 10/31   11/7   11/14   11/21   11/28   12/5   12/12   12/19   12/26

2023: 1/9   1/16

Contact: Murphy Yu (murphyyu@ncts.tw)

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