Abstract

We construct special Lagrangian submanifolds $Y\subset C^{n+1},n\ge 3$ in a neighborhood of the origin, with an isolated singularity, but with cylindrical tangent cone $C\times R$. Such examples exist, for example, when $C$ is a pair of transverse planes. The construction glues exact Lagrangian graphs. While the construction is purely analytic, it is important to recognize that the leading term of the Lagrangian potential in the gluing region exhibits cohomological information.

Zoom Link

https://us02web.zoom.us/j/89247847938?pwd=QCNn8XRFTODKAVbGeDJHKL8W3S6wgE.1

Organizers

Siao-Hao Guo (NTU), Chao-Ming Lin (NTU), Wei-Bo Su (NCU), Chung-Jun Tsai (NTU)