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Eastern Hemisphere Colloquium of Geometry and Physics (EHCGP)ㅣCastelnuovo Bound and Higher Genus Gromov-Witten Invariants of Qu

기간 : 2023-02-01 ~ 2023-02-01
시간 : 17:00 ~ 18:00
개최 장소 : Online Streaming
분야Field
날짜Date 2023-02-01 ~ 2023-02-01 시간Time 17:00 ~ 18:00
장소Place Online Streaming 초청자Host
연사Speaker Yongbin Ruan 소속Affiliation Institute for Advanced Study in Mathematics at Zhejiang University
TOPIC Eastern Hemisphere Colloquium of Geometry and Physics (EHCGP)ㅣCastelnuovo Bound and Higher Genus Gromov-Witten Invariants of Qu
소개 및 안내사항Content

Castelnuovo Bound and Higher Genus Gromov-Witten Invariants of Quintic 3-fold

One of most difficult problems in geometry and physics is to compute higher genus Gromov-Witten (GW) invariants of compact Calabi-Yau 3-folds such as quintic 3-folds. The effort to solve the problem leads to the inventions of several subjects such as mirror symmetry and FJRW theory. Almost twenty years ago, physicist Albrecht Klemm and his group shocked the community to produce explicit predications of higher genus GW invariants up to g=51! Their calculation is based on five mathematical conjectures, four BCOV conjectures from B-model and one A-model conjecture called Castelnuovo bound. Several years ago, a spectacular progress has been made to solve four BCOV conjectures. In this talk, I will report the solution of Castelnuovo bound conjecture. This is a joint work with Zhiyu Liu.

학회명Field Eastern Hemisphere Colloquium of Geometry and Physics (EHCGP)ㅣCastelnuovo Bound and Higher Genus Gromov-Witten Invariants of Qu
날짜Date 2023-02-01 ~ 2023-02-01 시간Time 17:00 ~ 18:00
장소Place Online Streaming 초청자Host
소개 및 안내사항Content

Castelnuovo Bound and Higher Genus Gromov-Witten Invariants of Quintic 3-fold

One of most difficult problems in geometry and physics is to compute higher genus Gromov-Witten (GW) invariants of compact Calabi-Yau 3-folds such as quintic 3-folds. The effort to solve the problem leads to the inventions of several subjects such as mirror symmetry and FJRW theory. Almost twenty years ago, physicist Albrecht Klemm and his group shocked the community to produce explicit predications of higher genus GW invariants up to g=51! Their calculation is based on five mathematical conjectures, four BCOV conjectures from B-model and one A-model conjecture called Castelnuovo bound. Several years ago, a spectacular progress has been made to solve four BCOV conjectures. In this talk, I will report the solution of Castelnuovo bound conjecture. This is a joint work with Zhiyu Liu.

성명Field Eastern Hemisphere Colloquium of Geometry and Physics (EHCGP)ㅣCastelnuovo Bound and Higher Genus Gromov-Witten Invariants of Qu
날짜Date 2023-02-01 ~ 2023-02-01 시간Time 17:00 ~ 18:00
소속Affiliation Institute for Advanced Study in Mathematics at Zhejiang University 초청자Host
소개 및 안내사항Content

Castelnuovo Bound and Higher Genus Gromov-Witten Invariants of Quintic 3-fold

One of most difficult problems in geometry and physics is to compute higher genus Gromov-Witten (GW) invariants of compact Calabi-Yau 3-folds such as quintic 3-folds. The effort to solve the problem leads to the inventions of