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Title:
Quantum mirrors of log Calabi-Yau surfaces and higher genus curve counting

Speaker:
Pierrick Bousseau

Abstract:
Gross-Hacking-Keel have given a construction of mirror families of log Calabi-Yau surfaces in terms of counts of rational curves. I will explain how to deform this construction by counts of higher genus curves to get non-commutative deformations of these mirror families. The proof of the consistency of this deformed construction relies on a recent tropical correspondence theorem

Link:
https://www.msri.org/workshops/816/schedules/23887

Workshop:
MSRI- Structures in Enumerative Geometry