Dusa McDuff: Symplectic embeddings and continued fractions

(Barnard College, Columbia University, USA)

• Date:
  Wednesday, June 30th 2010, 4:15 p.m.
• Location:
  Felix Klein Hörsaal, Mathematisches Institut, Johannisgasse 26, 04103 Leipzig
• Abstract:
  As shown by Gromov's nonsqueezing theorem, symplectic embedding problems lie at the heart of symplectic topology. The four dimensional problem is rather different from that in higher dimensions. Recently it has become possible to specify exactly when a four dimensional ellipsoid embeds in a ball. The talk explains recent joint work with Schlenk on this question, exploring its unexpected connections to continued fractions, Fibonacci numbers and lattice packing problems.

• Top-Level Research Area Mathematical Sciences of the University Leipzig
• Max-Planck-Institut für Mathematik in den Naturwissenschaften