【115/6/5】12:00-13:30 李宗儒 助理教授(國立成功大學數學系)
發佈日期 :
2026-05-29
| Student Seminar on Geometry | |
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| Time | 2026-6-5 12:00-13:30 |
| Venue | 數學館2樓 31203 教室 |
| Speaker | 李宗儒 助理教授(國立成功大學數學系) |
| 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 | 賴青瑞、李宗儒 |
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