13
Dec

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
isabella.schmutz@unifr.ch
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