강연 / 세미나
Algebraic Geometry Semina | Minimal rational curves on complete symmetric varieties
분야Field | |||
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날짜Date | 2023-05-23 ~ 2023-05-23 | 시간Time | 16:00 ~ 18:00 |
장소Place | Math Bldg. 404 | 초청자Host | |
연사Speaker | Shinyoung Kim | 소속Affiliation | IBS Center for Geometry and Physics |
TOPIC | Algebraic Geometry Semina | Minimal rational curves on complete symmetric varieties | ||
소개 및 안내사항Content | We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents, say VMRT. In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful varieties, there is a unique family of minimal rational curves. We relate these results to the restricted root system of the associated symmetric space. In particular, for certain Fano wonderful symmetric varieties, the VMRT has two connected components. Moreover, VMRT is Legandrian when restricted root system is not of type A. This is a joint work with M.Brion and N. Perrin. |
학회명Field | Algebraic Geometry Semina | Minimal rational curves on complete symmetric varieties | ||
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날짜Date | 2023-05-23 ~ 2023-05-23 | 시간Time | 16:00 ~ 18:00 |
장소Place | Math Bldg. 404 | 초청자Host | |
소개 및 안내사항Content | We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents, say VMRT. In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful varieties, there is a unique family of minimal rational curves. We relate these results to the restricted root system of the associated symmetric space. In particular, for certain Fano wonderful symmetric varieties, the VMRT has two connected components. Moreover, VMRT is Legandrian when restricted root system is not of type A. This is a joint work with M.Brion and N. Perrin. |
성명Field | Algebraic Geometry Semina | Minimal rational curves on complete symmetric varieties | ||
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날짜Date | 2023-05-23 ~ 2023-05-23 | 시간Time | 16:00 ~ 18:00 |
소속Affiliation | IBS Center for Geometry and Physics | 초청자Host | |
소개 및 안내사항Content | We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents, say VMRT. In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful varieties, there is a unique family of minimal rational curves. We relate these results to the restricted root system of the associated symmetric space. In particular, for certain Fano wonderful symmetric varieties, the VMRT has two connected components. Moreover, VMRT is Legandrian when restricted root system is not of type A. This is a joint work with M.Brion and N. Perrin. |
성명Field | Algebraic Geometry Semina | Minimal rational curves on complete symmetric varieties | ||
---|---|---|---|
날짜Date | 2023-05-23 ~ 2023-05-23 | 시간Time | 16:00 ~ 18:00 |
호실Host | 인원수Affiliation | Shinyoung Kim | |
사용목적Affiliation | 신청방식Host | IBS Center for Geometry and Physics | |
소개 및 안내사항Content | We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents, say VMRT. In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful varieties, there is a unique family of minimal rational curves. We relate these results to the restricted root system of the associated symmetric space. In particular, for certain Fano wonderful symmetric varieties, the VMRT has two connected components. Moreover, VMRT is Legandrian when restricted root system is not of type A. This is a joint work with M.Brion and N. Perrin. |