The sixth Takagi Lectures
June 6, 2009 (Sat) 14:30--15:30
June 7, 2009 (Sun) 09:30--10:30
Department of Mathematics
Hokkaido University

Symplectic embeddings and continued fractions
Dusa McDuff
(Columbia University, Barnard College)


As has been known since the time of Gromov's Nonsqueezing Theorem, symplectic embedding questions lie at the heart of symplectic geometry. These talks will discuss some recent developments concerning the question of when a 4-dimensional ellipsoid can be symplectically embedded in a ball. This problem turns out to have unexpected relations to the properties of continued fractions and exceptional curves in blow ups of the complex projective plane.