PLACEƾǨt] 1F3174Ы

SPEAKERDr. Marco (Yat-Hin) Suen]Institute for Basic Science - Center for Geometry and Physics (IBS-CGP)^

TITLEHomological Mirror Symmetry via the Gross-Siebert Program

ABSTRACT The Gross-Siebert program is usually referred to as the algebraic version of the famous SYZ mirror symmetry. The fundamental tool in their program is tropical geometry. A natural question that we want to address is how can one understand homological mirror symmetry under the framework of the Gross-Siebert program. In this talk, I am going to introduce the notion of tropical Lagrangian multi-sections, which is a combinatorial replacement of Lagrangian multi-sections in the SYZ proposal. Such tropical objects can be used to construct locally free sheaves on log Calabi-Yau varieties. I will discuss the existence and smoothabililty of these locally free sheaves and their relation to mirror symmetry.