Title: Adapted complex structures and the geodesic flow
2013.03.20 |
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.