External Lecturer:
Claudio Bartocci
Course Type:
PhD Course
Anno (LM):
First Year
Academic Year:
2023-2024
Period:
October
Duration:
20 h
Description:
Programme
- Basic definitions
- Gabriel’s theorem
- Double quivers
- Quiver representations
- Quiver varieties
- Hilbert schemes of points on complex surfaces as quiver varieties
- The ADHM description of the moduli space of instantons on R4
- Instantons on ALE spaces and the geometric McKay correspondence
Basic references
- C. Bartocci, V. Lanza, C.L.S. Rava, “Moduli spaces of framed sheaves and quiver varieties”, Journal of Geometry and Physics 118 (2017), 20–39.
- C. Bartocci, U. Bruzzo, V. Lanza, C.L.S. Rava, “On the irreducibility of some quiver varieties”, SIGMA 16 (2020), 13 pages.
- A. Kirillov Jr., Quiver Representations and Quiver Varieties, AMS, Providence (RI) 2016.
- H. Nakajima, Lectures on Hilbert Schemes of Points on Surfaces, AMS, Providence (RI) 1999.
- O. Schiffmann, “Variétés carquois de Nakajima”, in: Séminaire Bourbaki 2006/2007 – Exposés 967–981, Astérisque 311 (2008), 295–344.
Research Group: