Daniel Fernandez (05/12/16)

Anders Claesson, December 1, 2016

Math Colloquium

Speaker: Daniel Fernandez, University of Iceland

Title: Information geometry and Holography

Location: V-158, VRII
Time: Monday 5 December at 15:00

Abstract:

Information Geometry allows for families of probability distributions to be imbued with a natural measure: the Fisher metric. In particular, it is possible to define a Fisher metric on the instanton moduli space of field theories, which in many cases leads to hyperbolic geometries. Furthermore, Euclidean AdS emerges naturally as the metric of the SU(2) Yang Mills instanton moduli space. These are the first steps towards understanding the emergence of holographic dualities.