Sphere Packings, Lattices, and Infinite Dimensional Algebra August 16 to August 20, 2004 AIM Research Conference Center, Palo Alto, CA Organizers: Lisa Carbone, Noam Elkies, and Jim Lepowsky Workshop topics: This workshop, sponsored by AIM and the NSF, will focus on sphere packings and lattice packings, with particular attention to dimensions 8 and 24 and the connection with automorphic forms and Moonshine. Primarily, the workshop will consist of: 1. An investigation of the techniques of Cohn and Elkies, and of Cohn and Kumar, which are conjectured to give rise to a proof that the $E_8$ root lattice and the Leech lattice give the densest sphere packings in ${\Bbb R}^{8}$ and ${\Bbb R}^{24}$, respectively. 2. An introduction to the recent work of Frenkel, Lepowsky, and Meurman, and of Huang, which indicates deep connections between lattices, codes and conformal field theory. Application deadline: May 16, 2004 For more information: http://aimath.org/ARCC/workshops/spherepacking.html