SGU Introductory Lecture - 27 Lines on a Cubic Surface

Date: 
2015/05/20 Wed 14:45 - 16:15
Room: 
127 Conference Room, Building No.3
Speaker: 
Manfred Lehn
Affiliation: 
Universität Mainz
Abstract: 

It was discovered in the 19th century by Cayley and Salmon that every cubic surfac in 3-dimensional projective space contains exactly 27 lines. These form very special configurations, deeply related to the geometry of the root lattice of type E6. I would like to discuss some of the many geometric properties of the line configuration and why these are still of interest to geometers.