### Fall 2021

### Math GR8674 – Topics in Number Theory

Course postponed until Spring 2022.

### Math **GR6263** – Topics in Algebraic Geometry

**Instructor**: Giulia Sacca

**Day/Time**: TR 2:40 – 3:55 PM

**Title**: Moduli spaces and Hyper-Kahler Manifolds

**Abstract**: This course will offer an introduction to compact hyper-Kahler (HK) manifolds. These form a special class of Kahler manifolds, which have recently attracted attention in algebraic geometry. After an introduction to the general theory, basic results, and more recent developments, I will focus on the examples of HK manifolds constructed as moduli spaces: from the classical Gieseker moduli spaces, to moduli spaces of Bridgeland stable objects in the derived category of a K3 surface and, if time allows, in the Kuznetsov component of the derived category of a cubic fourfold.

Print this page