Speaker
Description
Chiodo-Ruan proved genus-zero Landau-Ginzburg/Calabi-Yau (LG/CY) correspondence for the quintic Calabi-Yau threefold, which relates genus-zero Fan-Jarvis-Ruan-Witten (FJRW) invariants of the Fermat quintic polynomial in five variables and genus-zero Gromov-Witten (GW) invariants of the quintic Calabi-Yau threefold. This correspondence can be viewed as an example of GIT wall-crossing in a gauged linear sigma model (GLSM). I will explain results and conjectures on (1) extending this correspondence to genus-zero open FJRW invariants and genus-zero open GW invariants of the quintic Calabi-Yau threefold, and (2) open/closed correspondence relating the above genus-zero open GW (resp. FJRW) invariants and closed GLSM invariants of a specific GLSM, the extended quintic GLSM, in the positive (resp. negative) phase. This is based on joint work with Konstantin Aleshkin.