In this talk I will survey recent advances on the existence theory
of minimal hypersurfaces from the variational point of view. I will
discuss what we know, what we do not know and point to future
directions. This is based on joint works with Andre...
We discuss interactions between quantum mechanics and symplectic
topology including a link between symplectic displacement energy, a
fundamental notion of symplectic dynamics, and the quantum speed
limit, a universal constraint on the speed of...
