ERGODIC THEORY, DIOPHANTINE APPROXIMATION AND RELATED TOPICS

Jo L

  • 17 June 2019 - 28 June 2019
    8:00 am - 5:00 pm

Organisers: Dzmitry Badziahin (University of Sydney), Alexander Fish (University of Sydney), Mumtaz Hussain (La Trobe University), Bao-Wei Wang (Huazhong University of Science and Technology)

Program Description: This workshop will explore the advanced level interconnected research problems
in Ergodic Theory and Analytical Number Theory with the focus on Diophantine Approximation. This activity will provide opportunities to discuss cutting edge and main stream research topics connecting both of these topics with the field experts. The focus will be on exploring various methods and techniques which could make progress in some of the long standing open problems such as the Littlewood Conjecture (1930), Duffin-Schaeffer Conjecture (1941), Generalised Baker-Schmidt Problem (1970), and Margulis Measure Rigidity Conjectures (1980’s).

This workshop will present a rare opportunity for researchers with a proven track record of significant quality contributions to any of the research areas in Ergodic Theory, Dynamical Systems, Number Theory with the aim of sharing ideas and thoughts about the intertwined research topics such as those arising from the theory of Diophantine approximation and to form collaborative links. This workshop will be preceded by a three day conference (12-14 June 2019) at the University of Sydney which will provide food for thoughts for the collaborative research at MATRIX. During the workshop there will be sufficient time for interactions and discussions. Distinguished overseas speakers and
selected Australian speakers will give one-hour talks with a focus on open problems to enthuse other participants.

While the areas of this conference range quite broadly mostly it will be devoted to the (interconnected) topics such as
 Ergodic theory on homogeneous spaces,
 Diophantine approximation and dynamics.
 Distribution of rational points on manifolds,
 Geometric measure theory: fractal geometry

Program Structure: TBD

Registration:

  • Deadline: 17 April 2019
  • Registration is by invitation only

 


ASSOCIATED EVENTS

MATRIX Wine and Cheese Afternoon 4 July 2018
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.