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 

10/04 1:00pm 
BLOC 624 
Konrad Wróbel 
Shannon's Entropy I
I'll begin working through Shannon's classical paper on Entropy and information theory. 

10/11 1:00pm 
BLOC 628 
Mehrzad Monzavi/Konrad Wrobel 
Shannon's Entropy II
We will finish talking about basic properties of entropy and discuss concentration bounds, the equipartition property and if time permits, the Shannon's Fundamental Theorem for a Noiseless Channel. 

10/18 1:00pm 
BLOC 628 
Mehrzad Monzavi 
Shannon's Entropy III
I will talk about conditional Shannon entropy, conditional typicality and with time's permission, conditional asymptotic equipartition property. 

10/25 1:00pm 
BLOC 628 
Roman Kogan 
Finitestate automata and measures
The idea of selfsimilarity has been prominently used in group theory ever since the introduction of the Grigorchuk group, generated by states of a finitestate machine with output, to answer Milnor's question on intermediate growth of groups. Similar ideas can be applied to the study of measures on the space of sequences in a finite alphabet to define finitestate measures. These measures generalize Bernoulli, Markov and kstep Markov measures in a natural way, and are preserved by the action of invertible finitestate automorphisms. We introduce and briefly discuss the properties of these measures, such as when they are kstep Markov, and when their image under noninvertible automorphisms is finitestate. 

11/01 1:00pm 
BLOC 628 
Krzysztof Święcicki 
Are L^p and l^p coarse equivalent?
I'll give brief overview of isomorphism problem of L^p and l^p in different categories and cover importance of this question in corse setting. Then I'll prove that there's no equivariant corse embedding of L^p into l^p. 

11/08 1:00pm 
BLOC 628 
Justin Cantu 
Fragmentations and Periodicity of Treelike Groups
We introduce the notion of a treelike action of a group generated by homeomorphisms of the Cantor set with period 2. Under some conditions, we can produce an orbitequivalent action by a infinite finitely generated periodic group. 

11/15 1:00pm 
BLOC 628 
Krzysztof Święcicki 
Are L^p and l^p coarse equivalent? II
This time I'll prove why there's no equivariant coarse embedding of L^p into l^p and mention how this can be useful for attacking the general problem of coarse equivalence between the two spaces. 