The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on April 26, 2016 at 14:00 in Room 478 of IMI.

A talk on:

Infinitesimal deformations of nearly parallel G₂-structures

will be delivered by Bogdan Alexandrov.

Everybody is invited.

Abstract. The subject of this talk are the infinitesimal deformations of nearly parallel G₂-structures on compact 7-dimensional manifolds. I will show that they form a subspace of co-closed 3-forms of a certain eigenspace of the Laplace operator. I will also give a similar description of the space of infinitesimal Einstein deformations of such a structure. The results will be illustrated by examples.