Uwe Semmelmann (Stuttgart): Dirac operators and non-existence of almost complex structures

Academic or specialist Colloquium / Congress / Forum

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.

When? 13.12.2011 17:15
Where? PER 08 Phys 2.52
Chemin du Musée 3
1700 Fribourg
Contact Department of Mathematics