Curve counting in elliptic Calabi-Yauthreefolds by modularity and blowup equations

讲座时间 Datetime: 

星期二, 2019/02/26 - 从 14:30 到 16:00

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

Jie Gu 博士

单位 Affiliation: 

University of Geneva

报告摘要 Abstract: 

The Gromov-Witten invariants or equivalently the Gopakumar-Vafa invariants of non-compact elliptic Calabi-Yauthreefolds are encoded in the elliptic genera of 6d (1,0) supersymmetric field theories. We develop two nouveau and efficient methods to compute the elliptic genera, the modular bootstrap and the blowup equations. The latter are the geometric reformulation and generalization of Goettsche-Nakajima-Yoshioka's blowup equations for 5d Super Yang-Mills theory with gauge group SU(N). We also argue for the generalized blowup equations to be a universal property of non-compact Calabi-Yauthreefolds.