# Lectures on derived and triangulated categories

## TL;DR

This paper provides an introductory overview of triangulated categories, covering foundational concepts and ending with an introduction to tilting theory, suitable for newcomers to the subject.

## Contribution

It offers a concise, accessible introduction to derived and triangulated categories, including exercises, for students and researchers new to the area.

## Key findings

- Clarifies the definition of additive and triangulated categories
- Introduces tilting theory as an application of triangulated categories
- Includes exercises to reinforce understanding

## Abstract

These notes are meant to provide a rapid introduction to triangulated categories. We start with the definition of an additive category and end with a glimps of tilting theory. Some exercises are included.