Quantum mirrors of log Calabi-Yau surfaces and higher genus curve counting
Location: MSRI: Simons Auditorium
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
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