Algebra Seminar

Ari Shnidman, Temple University

During the spring semester, we will run an "arXiv seminar",  with talks on papers from the last five years or so in any area of algebra/number theory. Papers will be exposited over 1-3 talks with the first talks devoted to the background material. This will be a short organizational meeting. We will go over some ground rules and then people can volunteer or request papers/topics. The organizers are happy to help choose a topic and prepare for the talk.

Violet Nguyen, Temple University

In this talk, we will walk through a new elementary proof of a theorem of William Chen concerning Markoff triples. After this short proof, we will discuss applications to Nielsen equivalences on $SL_{F_p}$ and to generalized Markoff-like surfaces.

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.