ZUMA - Introduction to stability conditions / Stable implies special Lagrangian: a higher-dimensional example5.25
地点:海纳苑2幢204室
时间:5月25日,16:15 - 17:35
报告人:范祐维 Yuwei Fan(上海数学与交叉学科研究院)
摘要:
Pretalk: Introduction to stability conditions
Abstract: In the pretalk, we will discuss the notion of slope stability of vector bundles, and generalize this concept to stability conditions on abelian and triangulated categories.
Research talk: Stable implies special Lagrangian: a higher-dimensional example
Abstract: The profound link between special Lagrangians and stability conditions, proposed by Thomas and Yau around 2000, has inspired significant developments in symplectic and algebraic geometry. The one-dimensional case was established by the seminal work of Haiden, Katzarkov, and Kontsevich in 2017. In this talk, after reviewing the necessary background, we will discuss a higher-dimensional example where stable implies special Lagrangian can be rigorously proved.