Seminars and Colloquia
Mathematics
Group actions and non-Kahler complex manifolds.
Fri, Aug 26, 2016,
11:30 AM to 12:30 PM
at Madhava Hall
Dr. Mainak Poddar
METU NCC
We give new examples of complex manifolds that are not Kahler, and therefore can not be projective algebraic varieties. Well-known classical examples of such manifolds include the product of two odd dimensional spheres (due to Hopf and Calabi-Eckmann), compact non-Abelian Lie groups of even dimension (due to Wang and Samelson), etc. Our construction is a generalization of the Lie group case to certain principal bundles and more generally, to certain group actions. This is a joint work with Ajay Singh Thakur.
