Deformations of log-symplectic formsMPIM

by Mykola Matviichuk (Imperial College London/MPIM)

Monday Jun 23, 2025, 2:20 PM → 2:35 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI Topology Seminar

By a log-symplectic form I mean a meromorphic closed non-degenerate 2-form omega on a complex manifold X that has only simple poles along a divisor D. I will discuss how the de Rham class of omega in H^2(X\D) determines the deformations of the triple (X,D,omega). Some open problems about topology of the divisor deforming D will be discussed.