The University of Queensland

Geometric boundary-value problems (2015–2017)

Abstract:

The Ricci flow is a geometric differential equation which recently made headlines for its key role in the proof of the Poincaré Conjecture (a century-old mathematical conjecture whose resolution carried a $1,000,000 prize). Developing the theory of boundary-value problems for the Ricci flow is a fundamental question, which has remained open for over two decades. The present project aims to answer this question on a wide class of spaces, along with the closely related question of solvability of boundary-value problems for the prescribed Ricci curvature equation. The results will have ramifications in a variety of fields, from pure mathematics to quantum field theory, relativity and modelling of biological systems.

Grant type:

ARC Discovery Early Career Researcher Award

Researchers:

• 

  Associate Professor Artem Pulemotov

  Associate Professor
  

  School of Mathematics and Physics

  Faculty of Science

Funded by:

Australian Research Council