代数幾何学セミナー
過去の記録 ~06/12|次回の予定|今後の予定 06/13~
| 開催情報 | 金曜日 13:30~15:00 数理科学研究科棟(駒場) 118号室 |
|---|---|
| 担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
2026年05月29日(金)
13:15-14:45 数理科学研究科棟(駒場) 117号室
厚東 裕紀 氏 (Academia Sinica)
Towards a quantization of the Kirwan map via Fourier transform
厚東 裕紀 氏 (Academia Sinica)
Towards a quantization of the Kirwan map via Fourier transform
[ 講演概要 ]
Quantum cohomology ring is a deformation of the ordinary cohomology ring defined using counts of rational curves (genus zero Gromov-Witten invariants). In this talk, I will propose a Fourier transform for the quantum cohomology of smooth projective GIT quotients, viewed as a quantum analogue of the Kirwan map in ordinary cohomology. I will present several examples where this Fourier transform can be constructed and discuss some applications. This talk is based on ongoing work.
Quantum cohomology ring is a deformation of the ordinary cohomology ring defined using counts of rational curves (genus zero Gromov-Witten invariants). In this talk, I will propose a Fourier transform for the quantum cohomology of smooth projective GIT quotients, viewed as a quantum analogue of the Kirwan map in ordinary cohomology. I will present several examples where this Fourier transform can be constructed and discuss some applications. This talk is based on ongoing work.


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