강연 / 세미나
Algebraic Geometry SeminarㅣFlags on Fano 3-fold hypersurfaces
분야Field | |||
---|---|---|---|
날짜Date | 2023-04-04 ~ 2023-04-04 | 시간Time | 16:00 ~ 18:00 |
장소Place | Math Bldg. 404 | 초청자Host | |
연사Speaker | Livia Campo | 소속Affiliation | KIAS |
TOPIC | Algebraic Geometry SeminarㅣFlags on Fano 3-fold hypersurfaces | ||
소개 및 안내사항Content | The existence of Kaehler-Einstein metrics on Fano 3-folds can be determined by studying some positive numbers called stability thresholds. K-stability is ensured if appropriate bounds can be found for these thresholds. An effective way to verify such bounds is to construct flags of point-curve-surface inside the Fano 3-folds. This approach was initiated by Abban-Zhuang, and allows us to restrict the computation of bounds for stability thresholds only on flags. We employ this machinery to prove K-stability of terminal quasi-smooth Fano 3-fold hypersurfaces. Many of these varieties had been attacked by Kim-Okada-Won using log canonical thresholds. In this talk I will tackle the remaining Fano hypersurfaces via Abban-Zhuang Theory. |
학회명Field | Algebraic Geometry SeminarㅣFlags on Fano 3-fold hypersurfaces | ||
---|---|---|---|
날짜Date | 2023-04-04 ~ 2023-04-04 | 시간Time | 16:00 ~ 18:00 |
장소Place | Math Bldg. 404 | 초청자Host | |
소개 및 안내사항Content | The existence of Kaehler-Einstein metrics on Fano 3-folds can be determined by studying some positive numbers called stability thresholds. K-stability is ensured if appropriate bounds can be found for these thresholds. An effective way to verify such bounds is to construct flags of point-curve-surface inside the Fano 3-folds. This approach was initiated by Abban-Zhuang, and allows us to restrict the computation of bounds for stability thresholds only on flags. We employ this machinery to prove K-stability of terminal quasi-smooth Fano 3-fold hypersurfaces. Many of these varieties had been attacked by Kim-Okada-Won using log canonical thresholds. In this talk I will tackle the remaining Fano hypersurfaces via Abban-Zhuang Theory. |
성명Field | Algebraic Geometry SeminarㅣFlags on Fano 3-fold hypersurfaces | ||
---|---|---|---|
날짜Date | 2023-04-04 ~ 2023-04-04 | 시간Time | 16:00 ~ 18:00 |
소속Affiliation | KIAS | 초청자Host | |
소개 및 안내사항Content | The existence of Kaehler-Einstein metrics on Fano 3-folds can be determined by studying some positive numbers called stability thresholds. K-stability is ensured if appropriate bounds can be found for these thresholds. An effective way to verify such bounds is to construct flags of point-curve-surface inside the Fano 3-folds. This approach was initiated by Abban-Zhuang, and allows us to restrict the computation of bounds for stability thresholds only on flags. We employ this machinery to prove K-stability of terminal quasi-smooth Fano 3-fold hypersurfaces. Many of these varieties had been attacked by Kim-Okada-Won using log canonical thresholds. In this talk I will tackle the remaining Fano hypersurfaces via Abban-Zhuang Theory. |
성명Field | Algebraic Geometry SeminarㅣFlags on Fano 3-fold hypersurfaces | ||
---|---|---|---|
날짜Date | 2023-04-04 ~ 2023-04-04 | 시간Time | 16:00 ~ 18:00 |
호실Host | 인원수Affiliation | Livia Campo | |
사용목적Affiliation | 신청방식Host | KIAS | |
소개 및 안내사항Content | The existence of Kaehler-Einstein metrics on Fano 3-folds can be determined by studying some positive numbers called stability thresholds. K-stability is ensured if appropriate bounds can be found for these thresholds. An effective way to verify such bounds is to construct flags of point-curve-surface inside the Fano 3-folds. This approach was initiated by Abban-Zhuang, and allows us to restrict the computation of bounds for stability thresholds only on flags. We employ this machinery to prove K-stability of terminal quasi-smooth Fano 3-fold hypersurfaces. Many of these varieties had been attacked by Kim-Okada-Won using log canonical thresholds. In this talk I will tackle the remaining Fano hypersurfaces via Abban-Zhuang Theory. |