Jim Belk Cornell University
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# Talks

This page is an archive of slides and videos for talks that I have given. See here for a list of all recent talks I have given.

## Quasisymmetries of Finitely Ramified Fractals

I recently gave a talk in the Cornell Topology & Geometric Group Theory seminar on my work with Bradley Forrest on quasisymmetries of finitely ramified fractals. Here are the slides for the talk: Here is a slightly older version of the same talk that I gave for the St Andrews Analysis Seminar. This version concentrates less on geometric group theory and more on fractal geometry: The talk at St Andrews was recorded on Zoom:

## Twisted Brin–Thompson Groups

I have given several talks on my recent work with Matt Zaremsky on quasi-isometric embeddings of finitely generated groups into simple groups (arXiv). The most recent was at the University of Milano-Bicocca (via Zoom), but I also gave talks on the same subject here at St Andrews and at Heriot-Watt University. Here is the most recent version of the slides for this talk: The version of this talk at the University of Milano-Bicacca was recorded on Zoom:

## Finitely Presented Groups that Contain Q

I have given several talks on my recent work with James Hyde and Francesco Matucci on embeddings of Q into finitely presented groups (arXiv). The most recent was at Ohio State University (via Zoom), but I also gave talkes at Groups and Geometry in the South East at the University of Southampton, and at the Workshop on Groups, Generalisations and Applications here at St Andrews. Here is the most recent version of the slides for this talk:

## Tree Lifting

I have given several talks on my work with Justin Lanier, Dan Margalit, and Becca Winarski (arXiv). The most recent version of this talk was at the Geometry and Topology Seminar at the University of Glasgow: I gave an earlier talk on the same material for experts at the Algorithms in Complex Dynamics and Mapping Class Groups workshop at ICERM. Here are the slides for that talk: You can view a video of this talk on the ICERM web page: This was the second of two talks on our paper at the workshop. The first was given by Becca Winarski: I also gave a couple of earlier talks on this work before the main theorem was proven, one at the University of Michigan (slides) and one here at St Andrews (slides). You can also see an earlier talk by Dan Margalit at the 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions:

## Rational Embeddings of Hyperbolic Groups

I have given several talks on my work with Collin Bleak and Francesco Matucci on the embedding of arbitrary hyperbolic groups into the rational group (arXiv). The most recent version of this talk was at the University of Aberdeen, but I also spoke on this subject here at St Andrews, at Georgia Tech, and at the Geometric Group Theory in Campinas 2018 ICM satellite conference at the University of Campinas. Here is the most recent version of my slides for this talk: Here is a short clip of me giving this talk in Campinas:

## Embedding RAAG's into Brin–Thompson Groups

I gave a short talk on my paper with Collin Bleak and Francesco Matucci on embedding right-angled Artin groups into Brin–Thompson groups (arXiv) at the 52nd Spring Topology and Dynamical Systems Conference at Auburn University. Here are the slides for this talk:

## Rearrangement Groups of Fractals

I gave several talks on my paper on rearrangement groups of fractals with Bradley Forrest (arXiv), including one at the Workshop on the Thompson Groups at the University of Southern Denmark in 2016 and a talk at Binghamton University in 2015.

## Torsion in 2V

Here are the slides for my talk on the torsion problem in $2$V and the undecidability of the finiteness problem for groups of asynchronous automata, which is based on my paper with Collin Bleak (arXiv). I gave this talk at several different seminars in the fall of 2013, and I recently gave this talk in the Logic Seminar at Cornell:

Here are the slides for a slightly different version of this talk that I gave at the Workshop on the Extended Family of R. Thompson Groups at the University of St Andrews in May 2014. They include some extra material on subshifts from my joint work with Francesco Matucci, Brita Nucinkis, and Conchita Martínez-Pérez, but do not include any introductory material on Thompson's groups.

## Thompson-Like Groups Acting on Julia Sets

Here are the slides for my talk on Thompson-like groups acting on Julia sets, based on my first paper with Bradley Forrest (arXiv). I gave this talk at the St Andrews in October 2013, and I also gave shorter versions of this talk at Groups St Andrews 2013, as well as the Workshop on the Extended Family of R. Thompson Groups conference at St Andrews in 2014. (This PDF was created from images of the original Mathematica slides. It includes a few still frames of the original animations.)

Here is a PDF of the shorter, 20-min. version of this talk that I gave at Groups St Andrews 2013. The PDF includes a few of my Mathematica animations:

Finally, Here are the slides for the older talk I gave on the basilica Thompson group. I gave this talk at the University of Virginia and at Binghamton University in April 2012.