ZUMA - Introduction to categorical enumerative invariants / B-model categorical enumerative invariants and the holomorphic anomaly equation3.16

地点:海纳苑2幢204室

时间:3月16日,16:00 - 17:20

报告人:涂君武 Junwu Tu(上海科技大学)

摘要:  

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.