Colloquium by William Kirwin (University of Cologne)

Title: Adapted complex structures and the geodesic flow

2013.03.20 | Jane Jamshidi

Date Wed 03 Apr
Time 15:30 16:30
Location Aud. G1 (1532-116)

Abstract: 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.