|Speaker:||Yefeng Shen (Michigan)|
|Title:||Landau-Ginzburg/Calai-Yau correspondence of all genera for elliptic orbifold P^1|
|Date (JST):||Mon, Mar 19, 2012, 14:00 - 17:00|
|Place:||Seminar Room A|
In this talk, I will explain the reconstruction of Gromov-Witten invariants for elliptic orbifold projective lines and the Fan-Jarvis-Ruan-Witten(FJRW) invariants for elliptic singularities.
The convergence of Gromov-Witten potentials and FJRW potentials are followed from the reconstruction. The Calabi-Yau to Landau-Ginzburg mirror symmetry and Landau-Ginzburg to Landau-Ginzburg mirror symmetry are verified for these cases. Using T.Milanov and Y.Ruan's construction of global B-model for elliptic singularities, we proved the Landau-Ginzburg/Calabi-Yau correspondence of all genera for elliptic orbifold projective lines.
This is a joint work with M.Krawitz.
The talk will be separated to two parts. In the first part, I will explain the general picture of Landau-Ginzburg/Calabi-Yau correspondence via global mirror symmetry. In the second part, I will talk about reconstructions, computations and the convergence.