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

Structures in Enumerative Geometry March 19, 2018 - March 23, 2018

March 22, 2018 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Pierrick Bousseau (University of Georgia)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

13-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
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13-Bousseau

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