L-infinity liftings of semiregularity maps and deformations

GAP (Geometry, Algebra, Physics) Seminar

Meeting Details

For more information about this meeting, contact Donna Cepullio, Ping Xu, Mathieu Stiénon.

Speaker: Emma Lepri, Università la Sapienza

Abstract: The Buchweitz-Flenner semiregularity map, introduced in 1999 and generalising Bloch's semiregularity map, has applications to both the variational Hodge conjecture and deformation theory. In our work we propose a proof of the fact that the semiregularity map annihilates all obstructions to deformations of a coherent sheaf on a complex projective manifold, based on the construction of a lifting of each component to an L-infinity morphism between differential graded Lie algebras. Based on a joint work with Ruggero Bandiera and Marco Manetti

Room Reservation Information

Room Number: 106 McAllister

Date: 09/06/2022

Time: 2:30pm - 3:30pm