Skip to Content

Sponsors

No results

Keywords

No results

Types

No results

Search Results

Events

No results
Search events using: keywords, sponsors, locations or event type
When / Where
All occurrences of this event have passed.
This listing is displayed for historical purposes.

Presented By: Geometry Seminar - Department of Mathematics

Isometric embeddings of Teichmuller spaces

Carlos Servan

A classical theorem of Royden states that any biholomorphism or isometry of Teichmuller space of closed surfaces, is induced by a homeomorphism of the underlying surface. Over the years, this result has been generalized in a variety of ways. Such as, to arbitrary surfaces of non-exceptional type or relaxing isometries to quasi-isometries. In this talk, we will discuss another generalization. We will consider isometric embeddings between Teichmuller spaces of finite type surfaces and show that besides some low-dimensional cases, they are induced by branched coverings between the underlying surfaces. As a consequence, we obtain a classification of local isometric embeddings between moduli spaces of curves. This is joint work with Frederik Benirschke.

Explore Similar Events

  •  Loading Similar Events...

Keywords


Back to Main Content