Vasily Dolgushev, Temple University
The main motivation to explore the Grothendieck-Teichmueller group GT and its versions comes from the connection of GT to the absolute Galois group $G_{\mathbb{Q}}$ of rational numbers. In my talk, I will recall the definition of GT and say a few words about the Ihara embedding from $G_{\mathbb{Q}}$ to GT. I will talk about interesting versions of GT and formulate known
results about the versions of this group. Finally, I will say a few words about open questions related to GT.