Lecture / Seminar
| 일 일 일 Sun | 월 월 월 Mon | 화 화 화 Tue | 수 수 수 Wed | 목 목 목 Thu | 금 금 금 Fri | 토 토 토 Sat |
|---|---|---|---|---|---|---|
2022 POSTECH-PMI LECTURE SERIES L COMPLEX ABELIAN VARIETIES AND SIEGEL MODULAR VARIETIES
| 분야Field | |||
|---|---|---|---|
| 날짜Date | 2022-12-17 ~ 2022-12-17 | 시간Time | 10:00 ~ 11:30 |
| 장소Place | Online streaming (Zoom) | 초청자Host | |
| 연사Speaker | Chia-Fu Yu | 소속Affiliation | Academia Sinica, Taiwan |
| TOPIC | 2022 POSTECH-PMI LECTURE SERIES L COMPLEX ABELIAN VARIETIES AND SIEGEL MODULAR VARIETIES | ||
| 소개 및 안내사항Content | 2022.11.19~2022.12.17(Every Saturday), 10:00-11:30, Online streaming (Zoom)
Goal and Outline: Abelian varieties are one of important topics in algebraic geometry and number theory. There are many deep and interesting results established and also many problems to be investigated in the theory of abelian varieties. Thus, it is useful to learn abelian varieties more. This short course is mainly for graduate students, and The goal is to introduce the analytic theory of abelian varieties and their moduli spaces. We will discuss the following topics in details: Elliptic curves and modular curves, complex tori, line bundles, classification of line bundles on complex tori, cohomology groups of complex tori and abelian varieties, ample and very ample line bundles and projective morphism, the Riemann-Lefschetz theorem, polarizations and dual abelian varieties, construction of abelian varieties: moduli and CM abelian varieties, Jacobians, Riemann bilinear relations, endomorphism algebras of abelian varieties. Prerequisite: Graduate Algebra, Complex analysis, and notions of complex manifolds, algebraic varieties and sheaf cohomology will be helpful. References: [1] David Mumford, Abelian varieties. Chap. 1 [2] Olivier Debarre, Complex tori and abelian varieties. [3] P. Griffiths and J. Harris, Principles of Algebraic Geometry. Chap. 2 Sections 2 and 6. [4] Ching-Li Chai, The period matrices and theta functions of Riemmann. Available in his homepage.
2022 POSTECH-PMI Lecture series A mini-course on – PMI
Pre-registration only |
||
| 학회명Field | 2022 POSTECH-PMI LECTURE SERIES L COMPLEX ABELIAN VARIETIES AND SIEGEL MODULAR VARIETIES | ||
|---|---|---|---|
| 날짜Date | 2022-12-17 ~ 2022-12-17 | 시간Time | 10:00 ~ 11:30 |
| 장소Place | Online streaming (Zoom) | 초청자Host | |
| 소개 및 안내사항Content | 2022.11.19~2022.12.17(Every Saturday), 10:00-11:30, Online streaming (Zoom)
Goal and Outline: Abelian varieties are one of important topics in algebraic geometry and number theory. There are many deep and interesting results established and also many problems to be investigated in the theory of abelian varieties. Thus, it is useful to learn abelian varieties more. This short course is mainly for graduate students, and The goal is to introduce the analytic theory of abelian varieties and their moduli spaces. We will discuss the following topics in details: Elliptic curves and modular curves, complex tori, line bundles, classification of line bundles on complex tori, cohomology groups of complex tori and abelian varieties, ample and very ample line bundles and projective morphism, the Riemann-Lefschetz theorem, polarizations and dual abelian varieties, construction of abelian varieties: moduli and CM abelian varieties, Jacobians, Riemann bilinear relations, endomorphism algebras of abelian varieties. Prerequisite: Graduate Algebra, Complex analysis, and notions of complex manifolds, algebraic varieties and sheaf cohomology will be helpful. References: [1] David Mumford, Abelian varieties. Chap. 1 [2] Olivier Debarre, Complex tori and abelian varieties. [3] P. Griffiths and J. Harris, Principles of Algebraic Geometry. Chap. 2 Sections 2 and 6. [4] Ching-Li Chai, The period matrices and theta functions of Riemmann. Available in his homepage.
2022 POSTECH-PMI Lecture series A mini-course on – PMI
Pre-registration only |
||
| 성명Field | 2022 POSTECH-PMI LECTURE SERIES L COMPLEX ABELIAN VARIETIES AND SIEGEL MODULAR VARIETIES | ||
|---|---|---|---|
| 날짜Date | 2022-12-17 ~ 2022-12-17 | 시간Time | 10:00 ~ 11:30 |
| 소속Affiliation | Academia Sinica, Taiwan | 초청자Host | |
| 소개 및 안내사항Content | 2022.11.19~2022.12.17(Every Saturday), 10:00-11:30, Online streaming (Zoom)
Goal and Outline: Abelian varieties are one of important topics in algebraic geometry and number theory. There are many deep and interesting results established and also many problems to be investigated in the theory of abelian varieties. Thus, it is useful to learn abelian varieties more. This short course is mainly for graduate students, and The goal is to introduce the analytic theory of abelian varieties and their moduli spaces. We will discuss the following topics in details: Elliptic curves and modular curves, complex tori, line bundles, classification of line bundles on complex tori, cohomology groups of complex tori and abelian varieties, ample and very ample line bundles and projective morphism, the Riemann-Lefschetz theorem, polarizations and dual abelian varieties, construction of abelian varieties: moduli and CM abelian varieties, Jacobians, Riemann bilinear relations, endomorphism algebras of abelian varieties. Prerequisite: Graduate Algebra, Complex analysis, and notions of complex manifolds, algebraic varieties and sheaf cohomology will be helpful. References: [1] David Mumford, Abelian varieties. Chap. 1 [2] Olivier Debarre, Complex tori and abelian varieties. [3] P. Griffiths and J. Harris, Principles of Algebraic Geometry. Chap. 2 Sections 2 and 6. [4] Ching-Li Chai, The period matrices and theta functions of Riemmann. Available in his homepage.
2022 POSTECH-PMI Lecture series A mini-course on – PMI
Pre-registration only |
||
| 성명Field | 2022 POSTECH-PMI LECTURE SERIES L COMPLEX ABELIAN VARIETIES AND SIEGEL MODULAR VARIETIES | ||
|---|---|---|---|
| 날짜Date | 2022-12-17 ~ 2022-12-17 | 시간Time | 10:00 ~ 11:30 |
| 호실Host | 인원수Affiliation | Chia-Fu Yu | |
| 사용목적Affiliation | 신청방식Host | Academia Sinica, Taiwan | |
| 소개 및 안내사항Content | 2022.11.19~2022.12.17(Every Saturday), 10:00-11:30, Online streaming (Zoom)
Goal and Outline: Abelian varieties are one of important topics in algebraic geometry and number theory. There are many deep and interesting results established and also many problems to be investigated in the theory of abelian varieties. Thus, it is useful to learn abelian varieties more. This short course is mainly for graduate students, and The goal is to introduce the analytic theory of abelian varieties and their moduli spaces. We will discuss the following topics in details: Elliptic curves and modular curves, complex tori, line bundles, classification of line bundles on complex tori, cohomology groups of complex tori and abelian varieties, ample and very ample line bundles and projective morphism, the Riemann-Lefschetz theorem, polarizations and dual abelian varieties, construction of abelian varieties: moduli and CM abelian varieties, Jacobians, Riemann bilinear relations, endomorphism algebras of abelian varieties. Prerequisite: Graduate Algebra, Complex analysis, and notions of complex manifolds, algebraic varieties and sheaf cohomology will be helpful. References: [1] David Mumford, Abelian varieties. Chap. 1 [2] Olivier Debarre, Complex tori and abelian varieties. [3] P. Griffiths and J. Harris, Principles of Algebraic Geometry. Chap. 2 Sections 2 and 6. [4] Ching-Li Chai, The period matrices and theta functions of Riemmann. Available in his homepage.
2022 POSTECH-PMI Lecture series A mini-course on – PMI
Pre-registration only |
||
Admin
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2022-11-17 17:59 ·
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