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Seminar on Geometric Complex Analysis
Seminar information archive ～05/19｜Next seminar｜Future seminars 05/20～
| Date, time & place | Monday 10:30 - 12:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2026/05/25
10:30-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Misa Ohashi (Nagoya Institute of Technology)
Geometric structures on Hirzebruch surfaces from the viewpoint of $S^{3} \times S^{3}$ (Japanese)
https://forms.gle/8ERsVDLuKHwbVzm57
Misa Ohashi (Nagoya Institute of Technology)
Geometric structures on Hirzebruch surfaces from the viewpoint of $S^{3} \times S^{3}$ (Japanese)
[ Abstract ]
For a non-negative integer $m$, each Hirzebruch surface Wm is defined as a complex two-dimensional K\"ahler submanifold of the product of the complex projective line and the complex projective plane. It is known that Hirzebruch surfaces are all biregularly distinct. The purpose of this talk is to describe the complex structures on Hirzebruch surfaces from a differential geometric point of view. For each $m$, we show that the real two-dimensional torus bundle over a Hirzebruch surface is diffeomorphic to the product of two 3-spheres, $S^{3} \times S^{3}$. From this, we realize the complex structure as a global section (tensor field) on $S^{3} \times S^{3}$. We explain the construction of these diffeomorphisms and their properties. This talk is based on joint work with Hideya Hashimoto.
[ Reference URL ]For a non-negative integer $m$, each Hirzebruch surface Wm is defined as a complex two-dimensional K\"ahler submanifold of the product of the complex projective line and the complex projective plane. It is known that Hirzebruch surfaces are all biregularly distinct. The purpose of this talk is to describe the complex structures on Hirzebruch surfaces from a differential geometric point of view. For each $m$, we show that the real two-dimensional torus bundle over a Hirzebruch surface is diffeomorphic to the product of two 3-spheres, $S^{3} \times S^{3}$. From this, we realize the complex structure as a global section (tensor field) on $S^{3} \times S^{3}$. We explain the construction of these diffeomorphisms and their properties. This talk is based on joint work with Hideya Hashimoto.
https://forms.gle/8ERsVDLuKHwbVzm57
