# Chow groups and derived categories of K3 surfaces

## TL;DR

This survey explores the relationship between Chow groups and derived categories of K3 surfaces, including new insights into how symplectomorphisms influence Chow groups.

## Contribution

It introduces new results on the action of symplectomorphisms on Chow groups of K3 surfaces, expanding understanding of their algebraic and geometric properties.

## Key findings

- Symplectomorphisms act non-trivially on Chow groups.
- New results connect symplectic automorphisms with Chow group structure.
- The survey summarizes recent advances in the field.

## Abstract

This survey is based on my talk at the conference `Classical algebraic geometry today' at the MSRI. Some new results on the action of symplectomorphisms on the Chow group are added.