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K-homology and index theory on Lie manifolds
20 Nov
20. November 2018
Oberseminar Analysis und Theoretische Physik

K-homology and index theory on Lie manifolds

I consider so-called Lie manifolds, which can be viewed as an axiomatization of numerous different types of compactifications of complete non-compact manifolds with bounded geometry and prescribed behavior "at infinity". On such manifolds there is a pseudodifferential calculus and one can consider fully elliptic operators which give rise to Fredholm operators on appropriate Sobolev spaces. A problem, proposed by Victor Nistor, asks for a general index formula of Atiyah-Singer type, valid for Fredholm pseudodifferential operators contained in the Lie calculus. In this talk, which is based on joint work with Jean-Marie Lescure, I present a solution to the problem.


Dr. Karsten Bohlen (Universität Regensburg)


Institut für Analysis


20. November 2018
15:00 Uhr - 17:00 Uhr


Geb.: 1101
Raum: c311
Welfengarten 1
30167 Hannover
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