강연 / 세미나
Algebraic Geometry Seminar | Maximally non-factorial Fano varietie
| 분야Field | |||
|---|---|---|---|
| 날짜Date | 2023-06-13 ~ 2023-06-13 | 시간Time | 16:00 ~ 18:00 |
| 장소Place | Math Bldg. 404 | 초청자Host | |
| 연사Speaker | Igor Krylov | 소속Affiliation | IBS Center for Geometry and Physics |
| TOPIC | Algebraic Geometry Seminar | Maximally non-factorial Fano varietie | ||
| 소개 및 안내사항Content | We say that a nodal Fano variety X is maximally non-factorial if rk Cl(X) = rk Pic(X) + #Sing(X). This property implies nice behavior of cohomologies and derived category of X under deformation which presents interesting relations of different families of Fano varities. I will give examples of maximally non-factorial Fano varieties and explain relations between cubic threefold and a Fano varietiy of degree 8. Then I will give a framework for classification of maximally non-factorial Fano varieties via elementary Sarkisov links. |
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| 학회명Field | Algebraic Geometry Seminar | Maximally non-factorial Fano varietie | ||
|---|---|---|---|
| 날짜Date | 2023-06-13 ~ 2023-06-13 | 시간Time | 16:00 ~ 18:00 |
| 장소Place | Math Bldg. 404 | 초청자Host | |
| 소개 및 안내사항Content | We say that a nodal Fano variety X is maximally non-factorial if rk Cl(X) = rk Pic(X) + #Sing(X). This property implies nice behavior of cohomologies and derived category of X under deformation which presents interesting relations of different families of Fano varities. I will give examples of maximally non-factorial Fano varieties and explain relations between cubic threefold and a Fano varietiy of degree 8. Then I will give a framework for classification of maximally non-factorial Fano varieties via elementary Sarkisov links. |
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| 성명Field | Algebraic Geometry Seminar | Maximally non-factorial Fano varietie | ||
|---|---|---|---|
| 날짜Date | 2023-06-13 ~ 2023-06-13 | 시간Time | 16:00 ~ 18:00 |
| 소속Affiliation | IBS Center for Geometry and Physics | 초청자Host | |
| 소개 및 안내사항Content | We say that a nodal Fano variety X is maximally non-factorial if rk Cl(X) = rk Pic(X) + #Sing(X). This property implies nice behavior of cohomologies and derived category of X under deformation which presents interesting relations of different families of Fano varities. I will give examples of maximally non-factorial Fano varieties and explain relations between cubic threefold and a Fano varietiy of degree 8. Then I will give a framework for classification of maximally non-factorial Fano varieties via elementary Sarkisov links. |
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| 성명Field | Algebraic Geometry Seminar | Maximally non-factorial Fano varietie | ||
|---|---|---|---|
| 날짜Date | 2023-06-13 ~ 2023-06-13 | 시간Time | 16:00 ~ 18:00 |
| 호실Host | 인원수Affiliation | Igor Krylov | |
| 사용목적Affiliation | 신청방식Host | IBS Center for Geometry and Physics | |
| 소개 및 안내사항Content | We say that a nodal Fano variety X is maximally non-factorial if rk Cl(X) = rk Pic(X) + #Sing(X). This property implies nice behavior of cohomologies and derived category of X under deformation which presents interesting relations of different families of Fano varities. I will give examples of maximally non-factorial Fano varieties and explain relations between cubic threefold and a Fano varietiy of degree 8. Then I will give a framework for classification of maximally non-factorial Fano varieties via elementary Sarkisov links. |
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Admin
·
2023-06-01 13:52 ·
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