Scattering diagrams in mirror symmetry

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.

arXiv commentRevision after the referee's report (references update, variation in the exposition, some typos and mistakes got fixed). Accepted for publication in "Bollettino dell'Unione Matematica Italiana". 23 pages, 6 figures