We will be reading The Geometry of Moduli Spaces of Sheaves by Huybrechts & Lehn. The first edition of this book is available hereLink opens in a new window.

As a preliminary plan, we may go through Chapter 1, 2 (Quot-scheme), 3 (Bogomolov inequality), 4 (local properties), 5, 6, 7, 10.

• Organisers: Peize LiuLink opens in a new window, Terry SongLink opens in a new window

• Format: We meet weekly online. Feel free to contact me if you are interested to join us. Teams linkLink opens in a new window

Timetable & Notes

8 Aug 2023 - Terry: Homological algebra of coherent sheaves (Section 1.1) NotesLink opens in a new window.

16 Aug 2023 - Peize: Stability & Harder-Narasimhan filtration (Section 1.2-1.3) NotesLink opens in a new window.

27 Aug 2023 - Terry: Stability of cotangent bundle of ; boundedness and regularity (Section 1.4, 1.7) NotesLink opens in a new window.

7 Sept 2023 - Terry: Flat families of sheaves; Quot-scheme and its deformations (Section 2.1-2.2).

TBD - Peize: Serre's construction; elementary transformations (Section 5.1-5.2).