# Non-Linear Critical Point Theory in Analysis and Geometry (23w5049)

## Organizers

Ben Sharp (University of Leeds)

Jingyi Chen (University of British Columbia)

Tobias Lamm (Karlsruhe Institute of Technology)

A large quantity of physical phenomena admit such a description - they are critical with respect to some energy, or in other words nature always tries to optimise energy''. For example the shape of cell membranes, event horizons of black holes and the behaviour of fundamental particles all fit within this regime. This workshop brings together young and experienced researchers in the mathematical/theoretical study of these problems. It mainly utilises the theory of differential geometry and partial differential equations, or broadly Geometric Analysis. This field has enjoyed popular notoriety in recent years with one of the modern progenitors of the subject, Karen Uhlenbeck, being awarded the Abel Prize. Similarly Perelman's proof of the Poincare conjecture, a question that took 100 years (and many contributors) to answer fully, for which Perelman famously turned down the \$1,000,000 award.