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【115/6/11】11:00-12:30 李宗儒 助理教授(國立成功大學數學系)

發佈日期 : 2026-06-08

 

Student Seminar on Geometry

Time 2026-6-11 11:00-12:30
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 II
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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