Reconstruction of TP2 via tropical Lagrangian multi-section

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Reconstruction of TP2 via tropical Lagrangian multi-section

수리과학부 0 4517
구분 초청강연
일정 2019-10-30(수) 14:00~16:00
세미나실 27동 325호
강연자 Yat-Hin Suen (IBS-CGP)
담당교수 조철현
기타
In this talk, I will talk about the reconstruction problem of the holomorphic tangent bundle $T_{mathbb{P}^2}$ of the complex projective plane $mathbb{P}^2$. I will introduce the notion of tropical Lagrangian multi-section and cook up one from a family of Hermitian metrics defined on $T_{mathbb{P}^2}$. Then I perform the reconstruction of $T_{mathbb{P}^2}$ from this tropical Lagrangian multi-section. If time allows, I will talk about how this reconstruction process can be applied to obtain some indecomposable rank 2 bundles on polarized K3 surfaces.

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