Dominik Gutwein:
Special submanifolds in Joyce’s generalised Kummer constructions
Zeit und Ort
Montag, 6.2.23, 16:15-17:15, Hörsaal II, Albertstr. 23b
Zusammenfassung
Associative and coassociative submanifolds are the natural subobjects of 7-dimensional G2-manifolds. Besides having minimal volume among all submanifolds realising a fixed homology class, they play a prominent role in higher-dimensional gauge theory. In this talk we will focus on G2-manifolds arising as desingularisations of flat orbifolds\nand explain a method of constructing coassociatives inside them. The novelty of this construction is that the volume of these submanifolds tends to zero as the ambient manifold\napproaches its orbifold-limit.