# Scattering diagrams in mirror symmetry

## TL;DR

This paper explores the role of scattering diagrams in mirror symmetry, particularly their application to the SYZ and HMS conjectures, highlighting their importance in the reconstruction problem.

## Contribution

It introduces the main ideas of scattering diagrams in mirror symmetry and explains their relevance to key conjectures in the field.

## Key findings

- Scattering diagrams are crucial tools in understanding mirror symmetry.
- They provide insights into the reconstruction problem in mirror symmetry.
- The paper clarifies the connection between scattering diagrams, the SYZ conjecture, and the HMS conjecture.

## Abstract

Since the pioneering work of Kontsevich and Soibelman [51], scattering diagrams have started playing an important role in mirror symmetry, in particular in the study of the reconstruction problem. This paper aims at introducing the main ideas on the subject describing the role of scattering diagrams in relation to the SYZ conjecture and the HMS conjecture.