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東京無限可積分系セミナー
過去の記録 ～12/08｜次回の予定｜今後の予定 12/09～
| 開催情報 | 土曜日 13:30～16:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 神保道夫、国場敦夫、山田裕二、武部尚志、高木太一郎、白石潤一 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/~takebe/iat/index-j.html |
次回の予定
2024年12月19日(木)
14:00-15:30 数理科学研究科棟(駒場) 002号室
Omar Kidwai 氏 (The Chinese University of Hong Kong)
Quadratic differentials and Donaldson-Thomas invariants (English)
Omar Kidwai 氏 (The Chinese University of Hong Kong)
Quadratic differentials and Donaldson-Thomas invariants (English)
[ 講演概要 ]
We recall the relation between quadratic differentials and spaces of stability conditions due to Bridgeland-Smith. We describe the calculation of (refined) Donaldson-Thomas invariants for stability conditions on a certain class of 3-Calabi-Yau triangulated categories studied by Christ-Haiden-Qiu. This category is slightly different from the usual one discussed by Bridgeland and Smith, which in particular allows us to recover a nonzero invariant in the case where the quadratic differential has a second-order pole, in agreement with predictions from the physics literature. Based on joint work with N. Williams.
We recall the relation between quadratic differentials and spaces of stability conditions due to Bridgeland-Smith. We describe the calculation of (refined) Donaldson-Thomas invariants for stability conditions on a certain class of 3-Calabi-Yau triangulated categories studied by Christ-Haiden-Qiu. This category is slightly different from the usual one discussed by Bridgeland and Smith, which in particular allows us to recover a nonzero invariant in the case where the quadratic differential has a second-order pole, in agreement with predictions from the physics literature. Based on joint work with N. Williams.
