ZUMA - Introduction to categorical enumerative invariants / B-model categorical enumerative invariants and the holomorphic anomaly equation
Venue: Room 204, Hai Na Yuan #2, Zijingang Campus
Time: March 16, 16:00 - 17:20
Speaker: 涂君武 Junwu Tu (ShanghaiTech University)
Pretalk: Introduction to categorical enumerative invariants
Abstract: We discuss the definition of categorical enumerative invariants associated with smooth proper Calabi-Yau categories.
Research talk: B-model categorical enumerative invariants and the holomorphic anomaly equation
Abstract: In this talk we consider categorical enumerative invariants associated with derived category of coherent sheaves on smooth projective Calabi-Yau threefolds. We prove these invariants, when considered in a family, satisfy Bershadsky-Cecotti-Ooguri-Vafa’s holomorphic anomaly equation (HAE). We also discuss the implications of HAE to understand the geometry of moduli space of Calabi-Yau threefolds.