It is a classical result of Hirzebruch that the quaternion projective spaces do not
admit any almost complex structure. In my talk I will show how the Atiyah-Singer
index theorem can be used to give a short alternative proof, which applies to a
much larger class of manifolds. With a similar idea it is possible to decide which
inner symmetric spaces admit almost complex structures.
|Where?||PER 08 Phys 2.52
Chemin du Musée 3
|Contact||Department of Mathematics