Session III.6 - Symbolic Analysis
Monday, June 19, 16:30 ~ 17:00
Syzygies and constant rank operators
Lisa Nicklasson
Università di Genova, Italy - This email address is being protected from spambots. You need JavaScript enabled to view it.
The constant rank condition on a system of linear PDEs with constant coefficients is often used in the theory of compensated compactness. While this is a purely linear algebraic condition, the commutative algebra notion of primary decomposition is another important tool for studying such system of PDEs. In this talk we will explore the connection between these two concepts. Along the way, a decomposition of our differential operator into a controllable and an uncontrollable part will play an important role.
Joint work with Marc Härkönen (Georgia Institute of Technology, USA) and Bogdan Raiță (Scoula Normale Superiore di Pisa, Italy).