Acylindricity of the Cremona Group - Part 2

Explore the second part of a lecture on the acylindricity of the Cremona group, delivered by Anne Lonjou as part of the "Groupes énormes/Huge Groups" conference. Delve into the advanced mathematical concepts surrounding the Cremona group, which consists of birational transformations of the projective plane. Learn about its action on an infinite-dimensional hyperbolic space, a crucial tool for studying this group. Discover the proof demonstrating that the Cremona group is acylindrically hyperbolic, leading to its SQ-universal property. Gain insights into how this property allows any countable group to be embedded in a quotient of the Cremona group. This 43-minute talk, presented at the Centre de recherches mathématiques (CRM), offers a deep dive into complex mathematical theory for those interested in group theory and algebraic geometry.