Marco Golla (Nantes): Rational cuspidal curves, symplectic isotopy, and symplectic fillings

A rational cuspidal curve is a complex curve whose singularities are irreducible (i.e. they have connected link), and that is homeomorphic to a 2-sphere. These are more elusive objects than one could expect, and, for instance, their classification in the projective plane is not yet complete. I will discuss a symplectic perspective on the subject and some results obtained with Laura Starkston (in progress).