Sat Nov 7, 2015
60 Evans Hall, 12:10–2 AM
Silvain Rideau (Morrey Visiting Assistant Professor, Department of Mathematics, UC Berkeley)
Since it was first formulated by Poizat thirty years ago, the question of eliminating imaginaries, has become an important, if not necessary, step in understanding the model theory of given algebraic structures; it consists in classifying all the definable equivalence relations in a structure. An ever growing collection of such results is now available but this question remains open in many otherwise well understood structures.
Some of the recent elimination of imaginaries results are actually reductions to previously known elimination of imaginaries results. The goal of this talk will be to consider these reductions from an abstract standpoint and provide various settings in which one might derive elimination of imaginaires in a theory from elimination of imaginaries in some other theory.