Student Working Seminar in Groups and Dynamics
Organizers:
David Carroll (carroll math.tamu.edu)
Krzysztof Swiecicki (ksas math.tamu.edu)
The Student Working Seminar in Groups and Dynamics is an informal, studentrun seminar that meets approximately
once a week to discuss topics related to group theory and dynamical systems. Talks are at the graduate/postdoctoral
level and can be presentations of original results, exposition of the literature, or simply openended
conversations. If you would like to give a talk or be added to the mailing list, please email one of the organizers.
This semester (Fall 2015), the seminar will meet weekly on Mondays from 34 PM in Blocker 624.

Date Time 
Location  Speaker 
Title – click for abstract 

10/09 11:00am 
Zoom 
James O'Quinn 
Ergodic theorems and amenability
Ergodic theorems are one of the main technical cornerstones of ergodic
theory, which is the study of dynamical systems from a measurable
perspective. Roughly speaking, an ergodic theorem provides a relation
between averaging a function over the dynamics and and averaging a
function over the space for ergodic systems. Thinking of a dynamical
system as a group action on a measure space, the kind of averaging
necessary for ergodic theorems to hold happens readily for actions of
the integers, but may not be available for other groups. However,
amenable groups provide the type of averaging we need. During this
talk, I will introduce some of the main ideas in ergodic theory,
focusing on the ergodic theorems. I will also relate this to amenable
groups, which are objects of great interest in current research and
permeate many areas of analysis.
No background in dynamics or group theory is assumed for this talk.
Newcomers and those with a passing interest in this area are especially
encouraged to attend. 

10/16 11:00am 
Zoom 
Alex Weygandt 
Topological Dynamics and Operator Algebras
In topological dynamics, one studies (groups of) homeomorphisms on topological spaces. Under mild assumptions, one can generate C*algebras, called transformation group C^*algebras, which capture many of the properties of such dynamical systems. In this talk, I will define how one obtains transformation group C*algebras, and discuss how properties of topological dynamical systems induce properties of the corresponding transformation group C*algebra, and vice versa. 

11/06 11:00am 
Zoom 
Konrad Wrobel 
Cofinite equivariance and wreath products
We show all wreath products of cyclic groups with a given free group as the base space are orbit equivalent. In order to show this, we define the notion of a cofinitely equivariant and study how this property is preserved under free products. This is joint work with Robin TuckerDrob. 

11/20 11:00am 
zoom 
Josiah Owens 
Schreier Graphs and Schreier Dynamical Systems: "Schreier! Graphin's!" Gollum, the group theorist
The concept of a Schreier graph will be introduced as well as the space of Schreier graphs over a given finitely generated group and its topology. A dynamical system enacted by a group G on a space X (whether topological or measurable) can be isomorphically embedded into the space of Schreier graphs over G or the space of subgroups of G. A given Schreier graph can be associated with a (Schreier) dynamical system, described by its orbit in the space of Schreier graphs over G. We will show that if the action of G on X is minimal, then the orbit of a Gtypical Schreier graph is dense in the isomorphic embedding of (G, X) in the space of Schreier graphs. 