Speaker: Guoran Ye (Northwestern University)

Title: Special Lagrangians with Cylindrical Tangent Cones

Time: 9:00-10:00  May 26, 2026 (Tuesday)

Place: Online (Tencent Meeting: 288-657-049  Link: https://meeting.tencent.com/dm/LDKELtEuvdG3)

Abstract: We construct special Lagrangian submanifolds $Y\subset \C^{n+1},n\geq 3$ 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 the leading term of the Lagrangian potential in the gluing region; it turns out to correspond to cohomological invariants of asymptotically conical special Lagrangians defined by Joyce.