Moduli Spaces on K3 Categories Are Irreducible Symplectic Varieties

Explore a lecture on the irreducible symplectic nature of moduli spaces on K3 categories. Delve into recent developments in decomposition theorems for singular projective varieties and their implications for irreducible symplectic varieties. Learn about the speaker's research demonstrating that moduli spaces of Bridgeland stable objects on the Kuznetsov component of certain fourfolds are projective irreducible symplectic varieties. Examine the composition theorem, key examples, and technical results supporting this conclusion. Gain insights into line bundles, Mukai vectors, and the advantages of this approach. Follow the progression from introduction to proof, covering the main theorem, its significance, and related remarks.

Introduction
Composition Theorem
Examples
Theorem
Key Points
Line Bundles
Story
U of X
What is the point
The mukai vector
The theorem
Advantages
Small Contribution
Remarks
Proof
Technical Results