Venue: Jiayibing Building 82J12 (west on the 2nd floor), BICMR
Time: Tuesday, Sep. 22 , 14:00-16:00
Speaker: Felix Janda (ETH Zürich)

Abstract. The conjectural LG-CY correspondence relates Gromov-Witten counts of
curves inside a Calabi-Yau manifold given by a quasi-homogenous
polynomial W to the (hopefully) easier to compute FJRW invariants of
the corresponding singularity. The statement of the conjecture involves
several ingredients including a mirror map. Work by
Ciocan-Fontanine-Kim and Fan-Jarvis-Ruan suggests that using particular
new moduli spaces depending on a stability parameter $\epsilon$, the
proof of the correspondence can be split up into two steps. The first
step is a wall-crossing between invariants for different $\epsilon$,
which only involves the mirror transformation. The second step is a
simplified LG-CY correspondence.
 
In this informal talk, I want to discuss work in progress with
E. Clader and Y. Ruan on establishing the first step on the FJRW side.
The focus will be on the example of the quintic threefold.