[geometry-ml:03248] MS seminar at Kavli IPMU -- Tony Yue-Yu (Universite Paris-Sud) -- Feb 27, 2018

[Todor Milanov]

Dear all,

I would like to announce the following Mathematics and String theory seminar at Kavli IPMU

Speaker: Tony Yue-Yu (Laboratoire de Mathematiques d'Orsay, Universite Paris-Sud)
Date:	Tue, Feb 27, 2018, 15:30 - 17:00
Place:	Seminar Room B

Title:	The Frobenius structure conjecture in dimension two

Abstract: The Frobenius structure conjecture is a conjecture about the geometry of rational curves in log Calabi-Yau varieties proposed by Gross-Hacking-Keel. It was motivated by the study of mirror symmetry. It predicts that the enumeration of rational curves in a log Calabi-Yau variety gives rise naturally to a Frobenius algebra satisfying nice properties. In a joint work with S. Keel, we prove the conjecture in dimension two. Our method is based on the enumeration of non-archimedean holomorphic curves developed in my thesis. We construct the structure constants of the Frobenius algebra directly from counting non-archimedean holomorphic disks. If time permits, I will also talk about compactification and extension of the algebra.

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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp