[CARMA logo]

Zero-Dimensional Symmetry Seminar

The Group Co-Word Problem

2:00 pm

Tuesday, 2nd Oct 2018

LG 17, McMullin


Mr Alex Bishop

(University of Technology Sydney)

The Group Co-Word Problem

In this talk, we will introduce a class of tree automorphism groups known as bounded automata. From this definition, we will see that many of the interesting examples of self-similar groups in the literature are members of this class.
A problem in group theory is classifying groups based on the difficulty of solving their co-word problems, that is, classifying them by the computational difficulty to decide if a word is not equivalent to the identity. Some well-known results in this study are that a group has a co-word problem given by a regular language if and only if it is finite, a deterministic context-free language if and only if it is virtually free, and a deterministic one-counter machine if and only if it is virtually cyclic. Each of these language classes corresponds to a natural and well-studied model of computation.
We will show that the class of bounded automata groups has a co-word problem given by an ET0L language – a class of formal language which has recently gained popularity in areas of group theory. This strengthens a recent result of Holt and Röver (who showed this result for a less restrictive class of language) and extends a result of Ferov (who proved this result for the first Grigorchuk group).

[CARMA logo]

CARMA Special Semester

Special Semester on Mathematical Thinking

Monday, 5th Nov 2018 — Friday, 31st May 2019


The next CARMA special semester programme is on the theme of Mathematical Thinking, examining the conceptual and neurological basis of mathematical thought and creativity, different aspects of which are associated with brain structures evolved for different purposes. It will explore links to machine learning, which plays a critical role as a model for cognition, as well as cognitive psychology, neuroscience, philosophy and pure and applied mathematics, through a series of workshops and other events. Please visit the semester's webpage for details. Events will also be listed on the events page of the CARMA website.

[Permanent link]

[CARMA logo]

CARMA Workshop

Diagrammatic Reasoning in Higher Education

Friday, 9th Nov 2018 — Sunday, 11th Nov 2018

X703, NewSpace (City Campus)

A workshop on the teaching of mathematical concepts using diagrammatic reasoning in higher education, investigating the potential for diagrammatic reasoning to be used to enhance the teaching of mathematics and abstract concepts across a range of disciplines (of business and economics, physics, engineering, and computer science) at the University of Newcastle. It will investigate the potential of diagrammatic reasoning as a novel pedagogical tool to enhance the learning of diverse student cohorts. For further information, please visit the workshop website.

[Permanent link]

[CARMA logo]

CARMA Workshop

EViMS 3

9:00 am — 5:00 pm

Tuesday, 13th Nov 2018

X602, NewSpace (City Campus)

Further information will soon be available on the workshop website.

[Permanent link]

[CARMA logo]

CARMA and AMSI Workshop

AMSI-CARMA Workshop on Mathematical Thinking

Wednesday, 14th Nov 2018 — Friday, 16th Nov 2018

X803, NewSpace (City Campus)

Mathematics underpins much of the scientific and technological progress of modernity. This workshop will bring together experts to study the conceptual and neurological basis of mathematical thought and creativity, different aspects of which are associated with brain structures evolved for different purposes. We will explore links to machine learning, which plays a critical role as a model for cognition, as well as cognitive psychology, neuroscience, philosophy and pure and applied mathematics. For further information, please visit the workshop website. The conference is part of CARMA's Special Semester on Mathematical Thinking.

At this workshop, we will target discussions at forming new interdisciplinary collaborations and formulating concrete research questions with a view towards major grant applications in the ARC Discovery and linkage programmes, among others. Expected benefits arising from such collaborations include machine learning improvements, computer assistance for mathematical research and other high-level cognitive tasks, and improved insight into mathematics education at all levels.

[Permanent link]

[CARMA logo]

ANZIAM Conference

NSW/ACT ANZIAM Meeting 2018

Monday, 19th Nov 2018 — Tuesday, 20th Nov 2018

NewSpace (City Campus)

The 2018 annual NSW/ACT ANZIAM branch meeting will take place at the City Campus of the University of Newcastle. Further details will be available on the meeting webpage.

[Permanent link]

[CARMA logo]

CARMA Conference

CTAC 2018

Tuesday, 27th Nov 2018 — Friday, 30th Nov 2018

Hunter Room, Newcastle City Hall [Newcastle, NSW]

Computational Techniques and Applications Conference (CTAC) 2018 will be hosted in Newcastle by CARMA from 27-30 November, 2019. This conference will focus on computational mathematics, scientific, technical and industrial applications and high-performance computing. Please visit the conference website for further information.

[Permanent link]

[CARMA logo]

CARMA Conference

Geometric Evolution Problems and Related Topics

Monday, 14th Jan 2019 — Friday, 18th Jan 2019

(Location to be decided)

Geometric evolution problems form an important area of modern mathematical research with far-reaching applications within mathematics and beyond. This workshop will gather together many leading Australian researchers and some key international guests to discuss latest developments, build on existing collaborations and initiate new ones. Topics will include second and higher order geometric flow and semilinear and fully nonlinear elliptic and parabolic partial differential equations. Further information will appear on the conference webpage.

[Permanent link]

[CARMA logo]

CARMA Workshop

International Workshop on Water Waves and Floating Bodies

Sunday, 7th Apr 2019 — Wednesday, 10th Apr 2019

Noah's On the Beach [Newcastle, NSW]

The 34th International Workshop on Water Waves and Floating Bodies (IWWWFB) will be held in Newcastle in 2019. Please visit the workshop website for more information.

[Permanent link]