I gave the same talk to the Non local games seminar and C*-Days in Prague:

Abstract: The first part of the talk will give a post hoc motivation for Banica’s 2005 definition of the quantum automorphism group of a finite graph, and in doing so attempt to build a good intuition for quantum automorphism. Frucht in 1939 showed that every finite group is the automorphism group of a finite graph, and a natural  pursuit in the theory of quantum automorphism groups is to establish quantum analogues of this result.  Based  on a joint work with Banica, the second part of the talk will address this question.

Slides below, video here from the Prague NCGT Group’s YouTube:

The slides are subtly different: the one for C*-Days is the latest version:

praguev5Download