Abstract: In this talk, I will introduce an equivariant mirror construction using a Morse model of equivariant Lagrangian Floer theory, formulated in a joint work with Kim and Lau. In case of semi-Fano toric manifold, our construction recovers the T-equivariant Landau-Ginzburg mirror found by Givental. For toric Calabi-Yau manifold, the equivariant disc potentials of certain immersed Lagrangians are closely related to the open Gromov-Witten invaraints of Aganagic-Vafa branes, which were studied by Katz-Liu, Graber-Zaslow, Fang-Liu-Zong and many others using localization techniques. The later result is a work in progress joint with Hong, Kim and Lau.
Paolo Ghiggini: Liouville nonfillability of
Abstract: I will prove that with its standard contact structure is not the boundary of a Liouville manifold. The proof is inspired by McDuff's classification of fillings of . This is a joint work with Klaus Niederkruger.