| Date: | October 2, 2018 |
| Time: | 3:50pm |
| Location: | BLOC 506A |
| Speaker: | Supun Samarakoon |
| Title: | First Grigorchuk Group |
| Abstract: | I will introduce the first Grigorchuk group, which has many
exotic properties. It is the first construction of intermediate growth.
We will go through the essence of the first proof of this fact. |
|
| Date: | October 9, 2018 |
| Time: | 3:50pm |
| Location: | BLOC 506A |
| Speaker: | Konrad Wrobel |
| Title: | Unitary representations, weak containment, and the Fell topology |
| Abstract: | I'll introduce some basics of unitary representations, including Schur's lemma, induced representations, and convergence of representations. |
|
| Date: | October 16, 2018 |
| Time: | 3:50pm |
| Location: | BLOC 506A |
| Speaker: | Konrad Wrobel |
| Title: | Cost of Inner Amenable Equivalence Relations |
|
| Date: | October 30, 2018 |
| Time: | 3:50pm |
| Location: | BLOC 506A |
| Speaker: | Zheng Kuang |
| Title: | Growth of groups |
| Abstract: | I will compare two ways to determine subexponential growth of the first Grigorchuk group, and then talk about the (subexponential) growth of another class of groups. In the end, I will introduce the method of assigning weights to each generator to obtain a sharp upper bound for the growth function. |
|
| Date: | November 13, 2018 |
| Time: | 3:50pm |
| Location: | BLOC 506A |
| Speaker: | Anton Bernshteyn, Carnegie Mellon |
| Title: | Using probabilistic combinatorics to study group actions |
|
| Date: | December 4, 2018 |
| Time: | 3:50pm |
| Location: | BLOC 506A |
| Speaker: | Justin Cantu |
| Title: | Groups generated by bounded automata and tile inflation |
| Abstract: | I will introduce bounded automata and the groups they generate when they are invertible. These groups act on regular rooted trees and give examples of self-similar groups, so we can define the corresponding level n orbital (or Schreier) graphs. We will use tile graphs, which are special subgraphs of level n orbital graphs, and their limits to study the orbital graphs of the group acting on the boundary of the tree. |
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