AMS BOULDER MEETING ON COMPUTABILITY THEORY JUNE 12-18, 1999 SPEAKER: Peter Cholak, University of Notre Dame TITLE: The global structure of the C.E. Sets ABSTRACT: We study the global structure of the computably enumerable (c.e.) sets under set inclusion. There are 4 themes which run through this discussion: definability, orbits/automorphisms/isomorphic substructures, computation complexity and dynamic properties. We will raise a number of open questions along these lines.