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Topology/Geometry Seminar

The shape of Kahler-Einstein metric on the universal Teichmuller space

Zeno Huang (CUNY)

Location:  Hill 525
Date & time: Tuesday, 27 February 2018 at 3:30PM - 4:30PM

The universal Teichmuller space is an infinite dimensional generalization of the Teichmuller space. In early 2000s, Takhtajan-Teo gave a Hilbert structure to the Universal Teichmuller space. Within this Hilbert structure, they proved several profound theorems about the geometry of the Kahler-Einstein metric (which coincides with the L^2-pairing). We consider the curvature operator of this metric and prove that it's bounded, nonpositive definite and noncompact.

This is based on joint work with Y. Wu (Tsinghua university).

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