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Toric vector bundles, non-abelianisation, and spectral networks

组织者

范祐维

演讲者

Yat-Hin Suen

时间

2024年03月20日 13:30 至 14:30

地点

A3-1-101

线上

Zoom 928 682 9093 (BIMSA)

摘要

Spectral networks and non-abelianization were introduced by Gaiotto-Moore-Neitzke and they have many applications in mathematics and physics. In a recent work by Nho, he proved that the non-abelianization of an almost flat local system over the spectral curve of a meromorphic quadratic differential is actually the same as the family Floer construction. Based on the mirror symmetry philosophy, it is then natural to ask how holomorphic vector bundles arise from spectral networks and non-abelianization. In this paper, we construct toric vector bundles on complete toric surfaces via spectral networks and non-abelianization arising from Lagrangian multi-sections.