Goal: Our goal is to read through the following paper (we'll try to get to Section 7 at least):

• Bayer, Macri and Stellari, The Space of Stability Conditions on Abelian Threefolds, and on some Calabi-Yau Threefolds.

References on derived categories and stability conditions.

Time/place: we will meet in 24 Illini Hall at 1pm on Wednesdays.

Schedule:

• Week 1 (Wed, 27 Jan): (Josh) slope stability and Bridgeland stability conditions on curves (Sections 1-4 of Arend's notes)

• Week 2 (Wed, 3 Feb): (Jason) Bridgeland stability conditions on surfaces. (I'll focus on the construction of Bridgeland stability conditions on a surface, and why it works, i.e. the computations in Section 6 of Bridgeland's K3 paper and Section 2 of Arcara-Bertram.)

• Week 3 (Wed, 10 Feb): (Yun) Section 2 of Bayer-Macri-Stellari (BMS)

• Week 4 (Wed, 17 Feb): (Becca) Section 3 and Appendix A of BMS

• Week 5 (Wed, 24 Feb): (Shiyu) Section 4 of BMS

• Week 6 (Wed, 2 Mar): no meeting

• Week 7 (Fri, 11 Mar): (Hao) Section 5 of BMS

• Week 8 (Wed, 16 Mar): (Josh) Section 6 of BMS

• Week 9: no meeting (spring break)

• Week 10 (Wed, 30 Mar): no meeting

• Week 11 (Wed, 6 Apr): no meeting

• Week 12 (Wed, 13 Apr): (Becca) Section 7 of BMS

• Week 13:

  • (Wed, 20 Apr): (Yun) first half of Section 8 of BMS and Theorem 7.2 of Huybrechts-Lehn

  • (Fri, 22 Apr): (Jason) second half of Section 8 of BMS

• Week 14:

  • (Wed, 27 Apr): (Shiyu) Section 9 of BMS

  • (Fri, 29 Apr): (Hao) Section 10 of BMS