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Adapted complex structures and the geodesic flow

William Kirwin
(University of Cologne)
Onsdag, 3 april, 2013, at 15:30-16:30, in Aud. G1 (1532-116)
Let M be a compact, real-analytic Riemannian manifold. An adapted complex structure is a certain complex structure on a neighborhood of M in its tangent bundle (a kind of Grauert tube). After giving a brief history and introduction, I will describe how adapted complex structures can be understood in terms of the "imaginary-time" geodesic flow, and how the construction is related to a general construction known as Thiemann's complexifier method. I will also describe a generalization involving magnetic flows, and, time permitting, various applications.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen