컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0227 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-12) The Mathematics of Quantum Fields and Strings (SS-12) |
| 발표시간(Time) | 19th-A-11:10 -- 11:30 |
| 영문제목 (Title(Eng.)) |
SYZ mirror symmetry for log Calabi-Yau surfaces |
| 저자(Author(s)) |
Hansol Hong1, Hyunbin Kim1 Yonsei University1 |
| 초록본문(Abstract) | Any log Calabi-Yau surface $X$ can be expressed as a nontoric blowup of a toric surface up to a modification of the boundary divisor. Using this, one can construct a special Lagrangian torus fibration on $X$ with nodal fibers, which results In the cluster structure on its SYZ mirror. I will first describe its mirror potential in terms of combinatorial data on the associated scattering diagram, and examine how its critical loci are affected by blowups. In particular, we will see that the blowup creates exactly one nondegenerate `geometric’ critical point of the potential. This is mirror to the analogous fact about the quantum cohomology of $X$ that can be shown applying the result of Bayer. |
| 분류기호 (MSC number(s)) |
53D40, 53D37, 14T90 |
| 키워드(Keyword(s)) | Lagrangian Floer theory, SYZ mirror symmetry, log Calabi-Yau surfaces |
| 강연 형태 (Language of Session (Talk)) |
English |