Moduli Spaces
Leticia BRAMBILA-PAZ
(CIMAT, Guanajuato, Mexico)

The concept of 'moduli space' arises in connection with classification problems. The basic ingredients of a classification problem are a collection of objects A and an equivalence relation *  on A. We would like to give A/* a structure that reflects how the objects vary in families.  In this talk I will explain the concept of moduli spaces with some examples and see how the study of some moduli spaces gives an interaction with different areas of mathematics like algebraic geometry, differential geometry, topology, representation theory etc., and also with other disciplines like theoretical physics.