Speaker: |
Yohsuke Imagi (Kavli IPMU) |
Title: |
Construction of Compact Special Lagrangian T^2-conifolds |
Date (JST): |
Thu, Nov 12, 2015, 15:30 - 17:00 |
Place: |
Seminar Room A |
Abstract: |
Special Lagrangian submanifolds are volume-minimizing Lagrangian submanifolds of Calabi-Yau manifolds. I have been studying singularity of (compact) special Lagrangian submanifolds of dimension 3 (or more). One approach is to choose a simple class of singularity and study it in detail. Compact special Lagrangian T^2-conifolds are a theoretically-well-studied simple class of singular objects, but their existence has been unproven so far as I know. I have recently proved that they do exist, using an idea of Mark Haskins and Dominic Joyce. I will explain it in the talk. |