Presented by: 
Reto Buzano (QMUL)
Wed 27 Jan, 3:00 pm - 4:00 pm

Abstract: Given a sequence of closed minimal hypersurfaces of bounded area and index, we 

prove that the total curvature along the sequence is quantised in terms of the total curvature 

of some limit hypersurface, plus a sum of total curvatures of complete properly embedded 

minimal hypersurfaces in Euclidean space. This yields qualitative control on the geometry 

and the topology of the hypersurfaces and thus for the class of all minimal hypersurfaces with

bounded index and area. This is joint work with Ben Sharp.