Quantization of real enumerative invariants 


Abstract:  In 2017, Mikhalkin introduced the quantum index of real oriented rational curves in toric surfaces intersecting toric divisors only at real points. Moreover, he showed that the signed enumeration of real oriented rational curves  of a given degree an given quantum index does not depend on the choice of constraints on the toric divisors, and the generating function for these quantized real enumerative invariants is proportional to the Block-Göttsche invariant. We discuss geometric ideas behind this remarkable discovery as well as possible extensions, in particular, similar results for enumeration of real curves of genus one and two (joint work with I. Itenberg).

Zoom information:
https://huji.zoom.us/j/84524984682?pwd=Szl4NUqytow2ZwNRsoUCZ5Z1b3Xx7A.1

Meeting ID: 845 2498 4682
Passcode: 003184