Topology Seminar (Main Talk): Convexity and Plurisubharmonicity of energy functional on Teichmuller space

Seminar | August 29 | 4-5 p.m. | 3 Evans Hall

 Inkang Kim, KIAS

 Department of Mathematics

We prove the plurisubharmonicity of energy functional on Teichmuller space for the smooth harmonic maps from a fixed Riemannian manifold into Riemann surfaces. We also give a strict convexity of the energy functional along the Weil-Petersson geodesics. This is a joint work with Wan and Zhang.

 conway@berkeley.edu