| Student Seminar on Geometry |
|
| Time |
2026-6-5 12:00-13:30 |
| Venue |
31203, Department of Mathematics |
| Speaker |
Prof. Tsung Ju Lee (Department of Mathematics, National Cheng Kung University) |
| Title |
The Geometry of 3-forms in 6 Dimensions |
| Abstract |
We will introduce Hitchin’s celebrated diffeomorphism-invariant volume functional on the space of smooth 3-forms over a closed 6-manifold and prove that when restricted to a fixed de Rham cohomology class, the critical points of this functional satisfy the integrability conditions for a Calabi-Yau threefold. Consequently we demonstrate how this variational principle constructs the local moduli space of these structures and naturally generates its underlying special pseudo-Kähler metric. |
| Reference |
N. Hitchin. "The Geometry of Three-Forms in Six Dimensions." J. Differential Geom. 55(3): 547-576 (July, 2000). |
| Organizer |
CJ Lai and TJ Lee |
|
