Seminar: Log ddbar-lemma and applications

Seminar| Institute of Mathematical Sciences

Time:Wednesday, September 17th, 2025,14:00-15:00

Abstract: The ddbar-lemma is a powerful tool in complex and algebraic geometry. In the first part of my talk, I will establish a logarithmic ddbar-type lemma on compact Kähler manifolds for logarithmic differential forms with values in the dual of a pseudo-effective line bundle, confirming a conjecture of X. Wan. In the second part, I will present an application to the work of L. Katzarkov, M. Kontsevich, and T. Pantev on unobstructed locally trivial deformations of generalized log Calabi–Yau pairs with weights, extending their projective result to the broader Kähler setting. This talk is based on arXiv:2412.09447.