Enumerative Invariants of Calabi-Yau Categories
Time: 2022-06-08
Published By: Wenqiong Li
Speaker(s): Junwu Tu (IMS, ShanghaiTech University)
Time: 14:00-15:00 June 15, 2022
Venue: Online
Abstract: Since the beginning of Kontsevich’s homological mirror symmetry proposal, he suggested that one should be able to recover the Gromov-Witten invariants from the Fukaya category of a symplectic manifold. In this talk, we shall describe the construction of such type invariants associated with general Calabi-Yau categories, following Costello and Caldararu-T.. These invariants, conjecturally, generalizes simultaneously the GW invariants, the FJRW invariants, and the Saito-Givental invariants. When applied to the derived category of coherent sheaves of a smooth projective Calabi-Yau, again conjecturally, the resulting invariants should match with the BCOV invariants in string theory. We then survey recent progresses in this field of study.
