Applied matrix positivity
- Alexander Belton, Lancaster University
- Emilio Porcu, Khalifa University and Trinity College, Dublin
- Mihai Putinar, University of Newcastle and University of California, Santa Barbara
Matrix theory remains an important chapter of both pure and applied mathematics. The proposed workshop stems from several active and fast-moving research topics which share a common core, namely the positivity of matrices or linear operators. From this vast subject, the organisers have carefully selected three subareas, aiming at intense and novel interactions between groups of scientists who have not previously communicated: positivity transforms, quantum information and algebraic quantum theory, and spacial statistics. In addition a topic of much current interest where positivity techniques may profitably be applied: the construction of tight wavelet frames willl be explored.
This workshop aims to provide new perspectives on complementary fields, all relying on matrix-theory techniques. The organisers will bring together participants from both theoretical and applied groups with the aim of cross-pollinating discussions on novel questions in matrix theory arising from applications such as the analysis of big data, algebraic quantum theory and spatial statistics.