Geometric flows and distinguished geometric structures with symmetry (2019–2023)
- Abstract:
- Geometric evolution equations are a trending topic in modern mathematics, with strikingly successful applications such as the celebrated proof of the century-old Poincar¿onjecture in 2002-03 by means of the Ricci flow. An analysis of the behaviour of solutions with symmetry is an essential component in any mature theory on the subject. The first aim of this project is to carry out this analysis for the Ricci flow and a number of recent flows in complex geometry. A subsequent goal is to use the novel tools and ideas resulting from this analysis as building blocks of an innovative approach towards addressing the Alekseevskii Conjecture, a 40-years old fundamental open question in the field with major ramifications in mathematics and beyond.
- Grant type:
- ARC Discovery Early Career Researcher Award
- Researchers:
-
-
- Funded by:
- Australian Research Council
