代数幾何学セミナー
過去の記録 ~03/25|次回の予定|今後の予定 03/26~
開催情報 | 火曜日 10:30~11:30 or 12:00 数理科学研究科棟(駒場) ハイブリッド開催/002号室 |
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担当者 | 權業 善範・中村 勇哉・田中公 |
2012年11月19日(月)
15:30-17:00 数理科学研究科棟(駒場) 122号室
戸田 幸伸 氏 (IPMU)
Stability conditions and birational geometry (JAPANESE)
戸田 幸伸 氏 (IPMU)
Stability conditions and birational geometry (JAPANESE)
[ 講演概要 ]
I propose a conjecture which claims that MMP for a smooth projective variety is realized as a variation of Bridgeland moduli spaces of semistable objects in the derived category of coherent sheaves. I will discuss the surface case and extremal contractions for 3-folds. In the former case, the conjecture is completely solved. In the latter case, I will construct the perverse t-structure associated to the extremal contraction, and construct a candidate of the desired stability condition as a double tilting of the perverse heart.
I propose a conjecture which claims that MMP for a smooth projective variety is realized as a variation of Bridgeland moduli spaces of semistable objects in the derived category of coherent sheaves. I will discuss the surface case and extremal contractions for 3-folds. In the former case, the conjecture is completely solved. In the latter case, I will construct the perverse t-structure associated to the extremal contraction, and construct a candidate of the desired stability condition as a double tilting of the perverse heart.