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International conference "Birational and affine geometry"
April 25, 2012 10:00–10:50, Moscow, Steklov Mathematical Institute of RAS

Linear groups in Cremona groups

S. Cantat

University of Rennes 1
 Video records: Flash Video 2,188.3 Mb Flash Video 359.8 Mb MP4 359.8 Mb

Abstract: I shall discuss the following question. Let $G$ be a linear group, for example $\mathrm{GL}_n(k)$, where $k$ is a field or the ring of integers. When does $G$ embed into the Cremona group of birational transformations of a given variety $M$? Of course, this depends on $G$, on $M$, etc. Not much is known, but interesting problems show up.