Abstract: Let M be a miniversal moduli space of pairs consisting of a smooth projective Calabi-Yau 3-fold together with a volume form. Based on Witten’s interpretation of background independence of string theory, Costello conjectured that the generating function of categorical enumerative invariants (CEI) is a projectively flat section of certain Fock bundle over M. In this talk we discuss Costello’s conjecture, which naturally leads to the construction of a canonical quantization of M in the sense of Kontsevich-Soibelman.

Zoom: https://us06web.zoom.us/j/83257513046                                                                                                                                                            Meeting ID: 832 5751 3046   Passcode: EHCGP2024