Counting open curves via Berkovich geometry


Tony Yue Yu

Universite Paris Sud

Harvard University

Thursday, March 2, 2017


Talk at 4:30 p.m. in Science Center C

Tea at 4:00 p.m. in the Math Lounge


Abstract: Motivated by mirror symmetry, we study the counting of open curves in log Calabi-Yau surfaces. Although we start with a complex surface, the counting is achieved by applying methods from Berkovich geometry (non-archimedean analytic geometry). This gives rise to new geometric invariants inaccessible by classical methods. These invariants satisfy a list of very nice properties and can be computed explicitly. If time permits, I will mention the conjectural wall-crossing formula, relations with the works of Gross-Hacking-Keel and applications towards mirror symmetry.


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Posted: February 24, 2017    URL: