The remodeling conjecture proposed by Bouchard-Klemm-Marino-Pasquetti relates Gromov-Witten invariants of a semi-projective toric Calabi-Yau 3-orbifold to Eynard-Orantin invariants of the mirror curve of the toric Calabi-Yau 3-fold. It can be viewed as a version of all genus open-closed mirror symmetry. In this talk, I will describe results on this conjecture based on joint work with Bohan Fang and Zhengyu Zong.

gométrie différentielle # théorie des modules # théorie de Yang-Mills # espace de modules # stratification de Morse

récursion topologique # modèle matriciel # nombre de Hurwitz # dessin d'enfant de Grothendieck # invariant de Gromov-Witten # analyse WKB # quantification des espaces de modules de Hitchin # champ cohomologique semi-simple # conjecture de remodelage