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Algebraic Geometry Reading Group

2019-2020

I am organising a reading group in algebraic geometry, in Positivity in Algebraic Geometry I by Lazarsfeld. All are welcome. We will start in week 3, term 2. The time will be every Wednesday morning 10-12, place B1.01, Zeeman building.

Acknowledgement I thank Dr. Weiyi Zhang and Dr. Chunyi Li for providing guide and idea to this reading group. I thank Edwin Kutas for this help in organization of this reading group. Thanks for all the people participating this reading group.

The content below will be topics of each week. It is a plan if in round bracket.

Week 3 (Edwin Kutas): Recall basic definitions and theorems that might be used in the future.

Week 4 (Alessio D'Ali): 1.1.1-1.1.28.

Week 5 (Alessio Borzi): 1.1.29-1.2.15.

Week 6 (Shengxuan Liu): 1.2.16-1.2.32

Week 7 (Shengxuan Liu): Finish up 1.2

Week 8 (Alessio Borzi, Steven Groen): A conclusion talk for 1.1 and 1.2

Week 9 (Alessio Borzi, Steven Groen): Another conclusion talk for 1.1 and 1.2

Week 10: Cancelled

We are planning to start our reading seminar on week 1 of term 3, i.e., the week of 20th April. We will try to use Microsoft Teams for our seminar. We will start from section 1.3 of Positivity in Algebraic Geometry I by Lazarsfeld. We will have the seminar every Wednesday 2-4pm.

Week 1 (Shengxuan Liu): 1.3-1.4B

Week 2 (Alessio Borzi): 1.4C-1.4.37

Week 3 (Steven Groen): 1.4.38-1.5.6

Week 4 (Steven Groen): 1.5.6-1.5.32

Week 5 (Alessio Borzi): 1.5.32-1.7 (Skip 1.6)

Week 6 (Alessio D'Ali): 1.8.1-1.8.17

Week 7: Skip. Macaulay2 workshop

Week 8 (Shengxuan Liu): 1.8.18-1.8B

Week 9 (Alessio Borzi): 1.8C

Week 10 (Alessio D'Ali): 1.8D

2020-2021

Term 1 topic: Derived Category

Form for the time: https://docs.google.com/forms/d/e/1FAIpQLScFG5Mum42DG1U4aS5VejcCmeisAOzLkzCZcl_zZqTOscTZ_w/viewform?usp=sf_link

We will use Microsoft teams for the reading group. We will start with two classical papers: Coherent sheaves on P^n and problems of linear algebras by Beilinson (https://link.springer.com/article/10.1007/BF01681436 ) and Bondal-Orlov reconstruction theorem (https://link.springer.com/article/10.1023/A:1002470302976). Afterwards, we will select the topics depending on the interest of people in the reading group.