“数学及其应用”重点实验室年会特邀报告——Castelnuovo Bound and Higher Genus Gromov-Witten Invariants of Quintic 3-fold
报告人：阮勇斌 院士
时间：2022-12-10 14:00-15:00
地点：腾讯会议：734-737-203 会议密码：221210
报告摘要：
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.
嘉宾介绍：
阮勇斌，中国科学院院士，浙江大学数学高等研究院教授、博士生导师。曾受邀在1998年国际数学家大会作45分钟报告，2001至2002年担任2002年国际数学家大会组委会成员（微分几何），2015年当选美国数学会会士。1995年获得美国斯隆研究奖，1998年获得国家杰出青年科学基金（B类），1999年获得Vilas Associates Award, 2006年获得Clay Senior Scholar。
