Quantum cohomology and related topics.
The notion of the quantum cohomology, which is a certain non-linear structure on the cohomology
of a projective algberaic variety, with complex coefficients, has been an actively developing area of
mathematics for several decades. While the original interest in the subject comes from physics
it is of substantial importance as a mathematical topic with connections to many other areas, including
intersection and deformation theory from algebraic geometry, enumerative geometry, operad theory,
mirror symmetry and Frobenius manifolds. In this course we plan to look at some of these topics,
following Manin's book on Quantum Cohomology.
of a projective algberaic variety, with complex coefficients, has been an actively developing area of
mathematics for several decades. While the original interest in the subject comes from physics
it is of substantial importance as a mathematical topic with connections to many other areas, including
intersection and deformation theory from algebraic geometry, enumerative geometry, operad theory,
mirror symmetry and Frobenius manifolds. In this course we plan to look at some of these topics,
following Manin's book on Quantum Cohomology.
讲师
日期
2025年09月15日 至 12月12日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周一,周五 | 15:20 - 16:55 | A3-2-201 | ZOOM 07 | 559 700 6085 | BIMSA |
参考资料
Manin. Frobenius Manifolds, Quantum Cohomology, Moduli Spaces
视频公开
公开
笔记公开
公开
讲师介绍
Slava Pimenov于圣彼得堡IFMO取得应用数学/计算机科学硕士学位，在耶鲁大学取得纯数博士学位。2014年至2022年，他在日本、英国、德国和法国担任博士后和访问研究员，2023年加入BIMSA任助理研究员。他目前的研究兴趣包括几何表示理论、超群和非交换代数几何。