Speaker: Song Yu (Columbia University)

Title: Open Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds

Abstract: Open Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds Abstract: I will discuss an open version of Ruan's Crepant Transformation Conjecture, which is an identification of open-closed Gromov-Witten invariants of K-equivalent toric Calabi-Yau 3-orbifolds. Our approach is based on the mirror symmetry between toric Calabi-Yau 3-orbifolds and B-model mirror curves. I will first explain the case of disk invariants, proven by the construction of a global family of mirror curves over the B-model moduli space and the disk mirror theorem of Fang-Liu-Tseng. I will then discuss ongoing joint work with B. Fang, C.-C. M. Liu, and Z. Zong on the higher genus case based on topological recursion and the BKMP remodeling conjecture.