中央研究院數學研究所

Algebraic Geometry Seminar

Looking for a quantum Lefschetz formula in higher-genus Gromov-Witten theory

2025/02/25 (Tue.) 15:00~17:00

日期 : 2025/02/25 (Tue.) 15:00~17:00
地點 : 中研院數學所 6樓演講廳 (台大校區)
主講人 : Jérémy Guéré (University of Grenoble)
籌辦人 : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
演講摘要 : Gromov-Witten invariants of a projective variety X come from enumerating curves in X. A famous example for X is the quintic hypersurface in P^4, studied by string theorists regarding mirror symmetry. Invariants from genus zero curves into X have been computed out of invariants of P^4, following the so-called quantum Lefschetz principle. However, invariants from higher genus curves are much harder to compute. In particular, based on a specific example, one may believe that they cannot be deduced from invariants of P^4. In this talk, I will explain my ongoing work in which I am looking for this relation, presenting a conjectural formula, where it comes from and a possible road to proving it.