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.Comment: Revision 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 figure
Motivated by recent works on localizations in A-twisted gauged linear sigma models, we discuss a gen...
We survey on the recent progress toward mirror symmetry between Landau–Ginzburg models
We show a mathematically precise version of the SYZ conjecture, proposed in the family Floer context...
Cluster varieties come in pairs: for any $\mathcal{X}$ cluster variety there is an associated Fock-G...
Abstract. This article surveys the development of the SYZ conjecture since it was proposed by Stromi...
This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers publis...
Mirror symmetry is a correspondence between symplectic and complex geometry developed to understand ...
In this article, we give explicit calculations for the family Floer mirrors of some non-compact Cala...
This is the English translation of Professor Voisin's book reflecting the discovery of the mirror sy...
We construct special Lagrangian fibrations for log Calabi-Yau surfaces, and scattering diagrams from...
The SYZ approach to mirror symmetry for log Calabi-Yau manifolds starts from a Lagrangian torus fibr...
For the last decade, Mark Gross and Bernd Siebert have worked with a number of collaborators to push...
We further develop the asymptotic analytic approach to the study of scattering diagrams. We do so by...
AbstractWe survey on the recent progress toward mirror symmetry between Landau–Ginzburg models
In this work we discuss the place of Veneziano amplitudes (the precursor of string models) and their...
Motivated by recent works on localizations in A-twisted gauged linear sigma models, we discuss a gen...
We survey on the recent progress toward mirror symmetry between Landau–Ginzburg models
We show a mathematically precise version of the SYZ conjecture, proposed in the family Floer context...
Cluster varieties come in pairs: for any $\mathcal{X}$ cluster variety there is an associated Fock-G...
Abstract. This article surveys the development of the SYZ conjecture since it was proposed by Stromi...
This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers publis...
Mirror symmetry is a correspondence between symplectic and complex geometry developed to understand ...
In this article, we give explicit calculations for the family Floer mirrors of some non-compact Cala...
This is the English translation of Professor Voisin's book reflecting the discovery of the mirror sy...
We construct special Lagrangian fibrations for log Calabi-Yau surfaces, and scattering diagrams from...
The SYZ approach to mirror symmetry for log Calabi-Yau manifolds starts from a Lagrangian torus fibr...
For the last decade, Mark Gross and Bernd Siebert have worked with a number of collaborators to push...
We further develop the asymptotic analytic approach to the study of scattering diagrams. We do so by...
AbstractWe survey on the recent progress toward mirror symmetry between Landau–Ginzburg models
In this work we discuss the place of Veneziano amplitudes (the precursor of string models) and their...
Motivated by recent works on localizations in A-twisted gauged linear sigma models, we discuss a gen...
We survey on the recent progress toward mirror symmetry between Landau–Ginzburg models
We show a mathematically precise version of the SYZ conjecture, proposed in the family Floer context...