Seminars: E. A. Yasinsky, Topologies of the Cremona groups following J. Blanc and J.-P. Furter

SEMINARS


Iskovskikh Seminar October 10, 2013 18:00, Moscow, Steklov Mathematical Institute, room 530

Topologies of the Cremona groups following J. Blanc and J.-P. Furter E. A. Yasinsky M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract: We study the algebraic structure on the $n$-dimensional Cremona group and show that it is not an algebraic group of infinite dimension if $n\geq 2$. However we show the existence of a Euclidean topology on the Cremona group which makes it a topological group.