Title: "From solids with topology to black holes and back"

Abstract: Inclusion of topological phenomena in condensed matter physics over the
past 10 years ushered a new era in this field. As a result of the
groundbreaking theoretical insights entire new classes of materials with
exotic properties have been discovered, including topological
insulators, Dirac and Weyl semimetals as well as topological
superconductors containing Majorana fermions. In this talk I will review
these developments and discuss an intriguing connection noticed recently
by Kitaev between one such topological system – the Sachdev-Ye-Kitaev
model – and the horizon of a black hole. This connection furnishes a
rare example of holographic duality between a solvable
quantum-mechanical model and Einstein gravity, and may have simple
physical realization in a tabletop experiment.