Graduate Talks

in Geometry and


Next Talk

Tuesday 5 April, 12:00PM AEST

Speaker: Faiz Imam


Solenoidal automorphisms and their periodic properties


Solenoids are compact connected finite dimensional abelian groups. Alternatively, a one-dimensional solenoid is a topological group in the sense that its Pontryagin dual is a subgroup of Q that contains Z. The inverse limit of a sequence of maps on the unit circle is used to obtain an additional description for a one-dimensional solenoid whose dual is a non-cyclic subgroup of Q. The classification of the sets of periodic points of a family of topological dynamical systems has been extensively studied. In many cases, studying periodicity helps us understand other dynamical aspects. This talk is based on the authors' work on the family of automorphisms on various solenoids, as well as the characterization of their periodic points. This is a joint work with Sharan Gopal.


Graduate Talks in Geometry and Topology, (GT)^2, is an online symposium organised by and for graduate students, running fortnightly throughout 2021. The symposium is designed to provide an opportunity for Australian graduate students in geometry and topology to present their research to a diverse audience, as well as engage, network, and share ideas with other students in their field.

The series will resume on Tuesday, August 17th, 2021. Supported by MATRIX and AMSI.

Statement of Inclusiveness

This will all be in an inclusive, supportive environment that assumes only undergraduate-level mathematical knowledge. We endorse this statement of inclusiveness:

We are a group of scholars, researchers, and teachers. We refuse to compromise the ideals of academic freedom and open exchange. We affirm that scientific events have to be open to everybody, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity. We believe that such events have to be supportive, inclusive, and safe environments for all participants. We believe that all participants are to be treated with dignity and respect. Discrimination and harassment cannot be tolerated. We are committed to ensuring that the scientific events in which we participate follow these principles, and we request that organizers of scientific events make explicit statements on the event website to that effect.

There are no more talks scheduled for 2021. Join us again in 2022!

Contact Details

This Symposium is being organised by: Ellena Moskovsky, Emily Thompson, Grace Garden, James Morgan, Max Carter and Yossi Bokor.
To contact us, please email GTsquared AT maths DOT usyd DOT edu DOT au.

We acknowledge the Traditional Owners of the land on which we work and live, and pay our respects to Elders past and present. We celebrate the stories, culture and traditions of Aboriginal and Torres Strait Islander Elders of all communities who also work and live on this land.


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