Valid Until: 2027-07-31 23:59
Abstract: Bershadsky-Cecotti-Ooguri-Vafa (BCOV) invariants are certain analytically defined invariants for Calabi-Yau manifolds. In this talk, I will report on my joint work with Yeping Zhang proving their birational invariance. This is an analogue of the birational invariance of Betti and Hodge numbers of Calabi-Yau manifolds, a celebrated result due to Batyrev and Kontsevich. Time permitting, I will briefly explain the extension of the theory for mildly singular Calabi-Yau varieties, and discuss some open questions.
Bio: Lie Fu is currently a research fellow at the University of Strasbourg Institute for Advanced Study (USIAS). He obtained PhD in mathematics in 2013 at Sorbonne University under the supervision of Professor Claire Voisin. After spending one semester as member of the Institute for Advanced Study (Princeton) in 2014, he returned to France to take up the position of associate professor at the Claude Bernard Lyon 1 University (2014-2019). From 2019-2021, he was a Radboud Excellence Fellow and remained at Radboud University (Netherlands) as an assistant professor until 2022. The research field of Lie Fu is algebraic geometry. Central objects of his research are Calabi-Yau manifolds and hyper-Kähler manifolds.