Conférencier: Mykola Matviichuk, University of Toronto

Résumé / Abstract:We will discuss how to deform a holomorphic symplectic form that has logarithmic poles along a normal crossings divisor. We will introduce an appropriate deformation complex and explain how to calculate its cohomology using natural local systems on the strata of the polar divisor. An analysis of the L-infinity structure on the cohomology of the deformation complex leads to a simple combinatorial description of the deformation space in terms of the periods of the log symplectic form. As an application, we construct new examples of log symplectic forms on CP^4 by deforming previously known ones. This is joint work with Brent Pym and Travis Schedler. 

Le lien pour se connecter est : https://uqam.zoom.us/j/98999725241