## Algebraic Geometry Seminar

Christian Urech

University of Basel / University of Rennes 1

Homomorphisms between Cremona groups

**Abstract:**The Cremona group is the group of birational transformations of the projective space. While the plane Cremona group is well understood, many questions about Cremona groups in higher dimensions remain open. In this talk we will look at the question how the plane Cremona group can be embedded into Cremona groups in higher dimensions. In particular, I will give a classification of algebraic embeddings from the plane Cremona group to the group of birational transformations of a threefold and explain the geometry of some interesting examples in higher dimensions.

Wednesday February 22, 2017 at 4:00 PM in SEO 427